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[2]
Chapter 1.
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! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent
#1 #2\egroup \spacefactor ...
l.61 ...n for the abelian group $G=Z_L[1]+Z_L[2]+Â
·Â·Â·+Z_L[d]$ .
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)
! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor
\accent@spacefactor
l.61 ...n for the abelian group $G=Z_L[1]+Z_L[2]+Â
·Â·Â·+Z_L[d]$ .
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.
LaTeX Warning: Command \textperiodcentered invalid in math mode on input line 6
1.
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1.
LaTeX Warning: Command \^ invalid in math mode on input line 61.
! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent
#1 #2\egroup \spacefactor ...
l.61 ...for the abelian group $G=Z_L[1]+Z_L[2]+·Â
·Â·+Z_L[d]$ .
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)
! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor
\accent@spacefactor
l.61 ...for the abelian group $G=Z_L[1]+Z_L[2]+·Â
·Â·+Z_L[d]$ .
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.
LaTeX Warning: Command \textperiodcentered invalid in math mode on input line 6
1.
LaTeX Warning: Command \textperiodcentered invalid in math mode on input line 6
1.
LaTeX Warning: Command \^ invalid in math mode on input line 61.
! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent
#1 #2\egroup \spacefactor ...
l.61 ...r the abelian group $G=Z_L[1]+Z_L[2]+··Â
·+Z_L[d]$ .
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)
! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor
\accent@spacefactor
l.61 ...r the abelian group $G=Z_L[1]+Z_L[2]+··Â
·+Z_L[d]$ .
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.
LaTeX Warning: Command \textperiodcentered invalid in math mode on input line 6
1.
LaTeX Warning: Command \textperiodcentered invalid in math mode on input line 6
1.
Missing character: There is no ç in font zpsycmrv!
Missing character: There is no ç in font zpsycmrv!
Missing character: There is no ç in font zpsycmrv!
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LaTeX Warning: Command \~ invalid in math mode on input line 122.
! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent
#1 #2\egroup \spacefactor ...
l.122 ...$-resolution for the direct product $D=GÃ
H$.
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)
! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor
\accent@spacefactor
l.122 ...$-resolution for the direct product $D=GÃ
H$.
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.
! Package inputenc Error: Keyboard character used is undefined
(inputenc) in inputencoding `latin1'.
See the inputenc package documentation for explanation.
Type H <return> for immediate help.
...
l.122 ...-resolution for the direct product $D=GÃ
H$.
You need to provide a definition with \DeclareInputText
or \DeclareInputMath before using this key.
Missing character: There is no ç in font zpsycmrv!
Overfull \hbox (3477.57355pt too wide) in paragraph at lines 59--216
[]
[]
[3
]
Chapter 2.
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[]
[]
[4
]
Chapter 3.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.245 \item $
M!.source$ is the resolution $R$.
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.245 \item $
M!.source$ is the resolution $R$.
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.245 \item $
M!.source$ is the resolution $R$.
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.246 \item $
M!.target$ is the resolution $S$.
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.246 \item $
M!.target$ is the resolution $S$.
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.246 \item $
M!.target$ is the resolution $S$.
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.247 \item $
M!.mapping(w,n)$ is a function which gives the image in $S_n$, ...
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.247 \item $
M!.mapping(w,n)$ is a function which gives the image in $S_n$, ...
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.247 \item $
M!.mapping(w,n)$ is a function which gives the image in $S_n$, ...
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.248 \item $
F!.properties$ is a list of pairs such as ["type", "equivarian...
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.248 \item $
F!.properties$ is a list of pairs such as ["type", "equivarian...
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.248 \item $
F!.properties$ is a list of pairs such as ["type", "equivarian...
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.249 \end{itemize}
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.249 \end{itemize}
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.249 \end{itemize}
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
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[]
[]
[5
]
Chapter 4.
LaTeX Warning: Command \~ invalid in math mode on input line 271.
! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent
#1 #2\egroup \spacefactor ...
l.271 ...ngrightarrow GL_n(Z)$ to the group of $nÃ
n$ invertible integer mat...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)
! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor
\accent@spacefactor
l.271 ...ngrightarrow GL_n(Z)$ to the group of $nÃ
n$ invertible integer mat...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.
! Package inputenc Error: Keyboard character used is undefined
(inputenc) in inputencoding `latin1'.
See the inputenc package documentation for explanation.
Type H <return> for immediate help.
...
l.271 ...grightarrow GL_n(Z)$ to the group of $nÃ
n$ invertible integer matr...
You need to provide a definition with \DeclareInputText
or \DeclareInputMath before using this key.
Missing character: There is no ç in font zpsycmrv!
Overfull \hbox (2912.40712pt too wide) in paragraph at lines 263--300
[]
[]
[6
]
Chapter 5.
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[]
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[7
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Chapter 6.
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l.339 \item I
f $X=C$ then the torsion coefficients of $H^n(C)$ are retuned.
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l.339 \item I
f $X=C$ then the torsion coefficients of $H^n(C)$ are retuned.
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l.339 \item I
f $X=C$ then the torsion coefficients of $H^n(C)$ are retuned.
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l.340 \item I
f $X=(C \longrightarrow D)$ then the induced homomorphism $H^n(...
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l.340 \item I
f $X=(C \longrightarrow D)$ then the induced homomorphism $H^n(...
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l.340 \item I
f $X=(C \longrightarrow D)$ then the induced homomorphism $H^n(...
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l.341 \end{itemize}
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l.341 \end{itemize}
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l.341 \end{itemize}
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l.374 \item I
f $X=C$ then the torsion coefficients of $H_n(C)$ are retuned.
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l.374 \item I
f $X=C$ then the torsion coefficients of $H_n(C)$ are retuned.
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l.374 \item I
f $X=C$ then the torsion coefficients of $H_n(C)$ are retuned.
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l.375 \item I
f $X=(C \longrightarrow D)$ then the induced homomorphism $H_n...
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l.375 \item I
f $X=(C \longrightarrow D)$ then the induced homomorphism $H_n...
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l.375 \item I
f $X=(C \longrightarrow D)$ then the induced homomorphism $H_n...
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l.376 \end{itemize}
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l.376 \end{itemize}
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l.376 \end{itemize}
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[8
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Chapter 7.
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[9
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Chapter 8.
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l.485 \item $
P$ is the output of the command $CR_CocyclesAndCoboundaries(R,...
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l.485 \item $
P$ is the output of the command $CR_CocyclesAndCoboundaries(R,...
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l.485 \item $
P$ is the output of the command $CR_CocyclesAndCoboundaries(R,...
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l.486 \item $
Q$ is the output of the command $CR_CocyclesAndCoboundaries(R,...
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l.486 \item $
Q$ is the output of the command $CR_CocyclesAndCoboundaries(R,...
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l.486 \item $
Q$ is the output of the command $CR_CocyclesAndCoboundaries(R,...
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l.487 \item $
N$ is the output of the command $CR_CocyclesAndCoboundaries(R,p...
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l.487 \item $
N$ is the output of the command $CR_CocyclesAndCoboundaries(R,p...
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l.487 \item $
N$ is the output of the command $CR_CocyclesAndCoboundaries(R,p...
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l.488 \end{itemize}
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l.488 \end{itemize}
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l.488 \end{itemize}
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[10
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Chapter 9.
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l.554 \item $
E.homomorphism$ is a group homomorphism $µ : (G \wedge N) \lo...
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l.554 \item $
E.homomorphism$ is a group homomorphism $µ : (G \wedge N) \lo...
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l.554 \item $
E.homomorphism$ is a group homomorphism $µ : (G \wedge N) \lo...
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LaTeX Warning: Command \^ invalid in math mode on input line 554.
! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent
#1 #2\egroup \spacefactor ...
l.554 ....homomorphism$ is a group homomorphism $Â
µ : (G \wedge N) \longrigh...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)
! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor
\accent@spacefactor
l.554 ....homomorphism$ is a group homomorphism $Â
µ : (G \wedge N) \longrigh...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.
Missing character: There is no ç in font zpsycmrv!
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l.554 ...t $(G \wedge N)$ to $G$. The kernel of $Â
µ$ is the relative Schur m...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)
! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor
\accent@spacefactor
l.554 ...t $(G \wedge N)$ to $G$. The kernel of $Â
µ$ is the relative Schur m...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.
Missing character: There is no ç in font zpsycmrv!
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See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
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l.555 \item $
E.pairing(x,y)$ is a function which inputs an element $x$ in $...
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l.555 \item $
E.pairing(x,y)$ is a function which inputs an element $x$ in $...
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Type H <return> for immediate help.
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l.555 \item $
E.pairing(x,y)$ is a function which inputs an element $x$ in $...
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l.556 \end{itemize}
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l.556 \end{itemize}
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l.556 \end{itemize}
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l.573 \item $
T.homomorphism$ is a group homomorphism $µ : (G \tilde\otimes...
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l.573 \item $
T.homomorphism$ is a group homomorphism $µ : (G \tilde\otimes...
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Type H <return> for immediate help.
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l.573 \item $
T.homomorphism$ is a group homomorphism $µ : (G \tilde\otimes...
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LaTeX Warning: Command \^ invalid in math mode on input line 573.
! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent
#1 #2\egroup \spacefactor ...
l.573 ....homomorphism$ is a group homomorphism $Â
µ : (G \tilde\otimes G) \l...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)
! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor
\accent@spacefactor
l.573 ....homomorphism$ is a group homomorphism $Â
µ : (G \tilde\otimes G) \l...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.
Missing character: There is no ç in font zpsycmrv!
LaTeX Warning: Command \^ invalid in math mode on input line 573.
! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent
#1 #2\egroup \spacefactor ...
l.573 ...ic square of $G$ to $G$. The kernel of $Â
µ$ is isomorphic to the fo...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)
! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor
\accent@spacefactor
l.573 ...ic square of $G$ to $G$. The kernel of $Â
µ$ is isomorphic to the fo...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.
Missing character: There is no ç in font zpsycmrv!
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
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l.574 \item $
T.pairing(x,y)$ is a function which inputs two elements $x, y$...
Try typing <return> to proceed.
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! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
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l.574 \item $
T.pairing(x,y)$ is a function which inputs two elements $x, y$...
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If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
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l.574 \item $
T.pairing(x,y)$ is a function which inputs two elements $x, y$...
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! LaTeX Error: Something's wrong--perhaps a missing \item.
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l.575 \end{itemize}
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l.575 \end{itemize}
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l.575 \end{itemize}
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! LaTeX Error: Something's wrong--perhaps a missing \item.
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Type H <return> for immediate help.
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l.588 \item $
E.homomorphism$ is a group homomorphism $µ : (G \otimes N ) \...
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Type H <return> for immediate help.
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l.588 \item $
E.homomorphism$ is a group homomorphism $µ : (G \otimes N ) \...
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See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
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l.588 \item $
E.homomorphism$ is a group homomorphism $µ : (G \otimes N ) \...
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LaTeX Warning: Command \^ invalid in math mode on input line 588.
! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent
#1 #2\egroup \spacefactor ...
l.588 ....homomorphism$ is a group homomorphism $Â
µ : (G \otimes N ) \longri...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)
! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor
\accent@spacefactor
l.588 ....homomorphism$ is a group homomorphism $Â
µ : (G \otimes N ) \longri...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.
Missing character: There is no ç in font zpsycmrv!
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.589 \item $
E.pairing(x,y)$ is a function which inputs an element $x$ in $...
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.589 \item $
E.pairing(x,y)$ is a function which inputs an element $x$ in $...
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
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l.589 \item $
E.pairing(x,y)$ is a function which inputs an element $x$ in $...
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
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l.590 \end{itemize}
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.590 \end{itemize}
Try typing <return> to proceed.
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! LaTeX Error: Something's wrong--perhaps a missing \item.
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Type H <return> for immediate help.
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l.590 \end{itemize}
Try typing <return> to proceed.
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! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
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l.598 \item $
T.homomorphism$ is a group homomorphism $µ : (G \otimes G) \l...
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If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
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l.598 \item $
T.homomorphism$ is a group homomorphism $µ : (G \otimes G) \l...
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.598 \item $
T.homomorphism$ is a group homomorphism $µ : (G \otimes G) \l...
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
LaTeX Warning: Command \^ invalid in math mode on input line 598.
! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent
#1 #2\egroup \spacefactor ...
l.598 ....homomorphism$ is a group homomorphism $Â
µ : (G \otimes G) \longrig...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)
! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor
\accent@spacefactor
l.598 ....homomorphism$ is a group homomorphism $Â
µ : (G \otimes G) \longrig...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.
Missing character: There is no ç in font zpsycmrv!
LaTeX Warning: Command \^ invalid in math mode on input line 598.
! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent
#1 #2\egroup \spacefactor ...
l.598 ...or square of $G$ to $G$. The kernel of $Â
µ$ is isomorphic to the th...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)
! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor
\accent@spacefactor
l.598 ...or square of $G$ to $G$. The kernel of $Â
µ$ is isomorphic to the th...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.
Missing character: There is no ç in font zpsycmrv!
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.599 \item $
T.pairing(x,y)$ is a function which inputs two elements $x, y$...
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.599 \item $
T.pairing(x,y)$ is a function which inputs two elements $x, y$...
Try typing <return> to proceed.
If that doesn't work, type X <return> to quit.
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Type H <return> for immediate help.
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l.599 \item $
T.pairing(x,y)$ is a function which inputs two elements $x, y$...
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l.600 \end{itemize}
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l.600 \end{itemize}
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Chapter 10.
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l.653 \item t
he kernel of $phi$ lies in both the centre of $C$ and the deriv...
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l.653 \item t
he kernel of $phi$ lies in both the centre of $C$ and the deriv...
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l.653 \item t
he kernel of $phi$ lies in both the centre of $C$ and the deriv...
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l.654 \item t
he kernel of $phi$ is a vector space of rank equal to the rank...
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l.654 \item t
he kernel of $phi$ is a vector space of rank equal to the rank...
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he kernel of $phi$ is a vector space of rank equal to the rank...
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l.656 \end{itemize}
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l.656 \end{itemize}
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l.656 \end{itemize}
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he kernel of $phi$ lies in both the centre of $C$ and the deriv...
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he kernel of $phi$ lies in both the centre of $C$ and the deriv...
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he kernel of $phi$ lies in both the centre of $C$ and the deriv...
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l.663 \item t
he kernel of $phi$ is a vector space of rank equal to the rank...
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l.663 \item t
he kernel of $phi$ is a vector space of rank equal to the rank...
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l.663 \item t
he kernel of $phi$ is a vector space of rank equal to the rank...
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l.664 \end{itemize}
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l.664 \end{itemize}
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l.673 \item $
E.homomorphism$ is a Lie homomorphism $µ : (L \wedge L) \long...
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l.673 \item $
E.homomorphism$ is a Lie homomorphism $µ : (L \wedge L) \long...
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l.673 \item $
E.homomorphism$ is a Lie homomorphism $µ : (L \wedge L) \long...
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LaTeX Warning: Command \^ invalid in math mode on input line 673.
! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent
#1 #2\egroup \spacefactor ...
l.673 ...$E.homomorphism$ is a Lie homomorphism $Â
µ : (L \wedge L) \longrigh...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)
! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor
\accent@spacefactor
l.673 ...$E.homomorphism$ is a Lie homomorphism $Â
µ : (L \wedge L) \longrigh...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.
Missing character: There is no ç in font zpsycmrv!
LaTeX Warning: Command \^ invalid in math mode on input line 673.
! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent
#1 #2\egroup \spacefactor ...
l.673 ...e $(L \wedge L)$ to $L$. The kernel of $Â
µ$ is the Lie multiplier.
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)
! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor
\accent@spacefactor
l.673 ...e $(L \wedge L)$ to $L$. The kernel of $Â
µ$ is the Lie multiplier.
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.
Missing character: There is no ç in font zpsycmrv!
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
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l.674 \item $
E.pairing(x,y)$ is a function which inputs elements $x, y$ in ...
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! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
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l.674 \item $
E.pairing(x,y)$ is a function which inputs elements $x, y$ in ...
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l.674 \item $
E.pairing(x,y)$ is a function which inputs elements $x, y$ in ...
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l.675 \end{itemize}
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l.675 \end{itemize}
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l.675 \end{itemize}
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! LaTeX Error: Something's wrong--perhaps a missing \item.
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Type H <return> for immediate help.
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l.681 \item $
T.homomorphism$ is a Lie homomorphism $µ : (L \otimes L) \lon...
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l.681 \item $
T.homomorphism$ is a Lie homomorphism $µ : (L \otimes L) \lon...
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! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
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l.681 \item $
T.homomorphism$ is a Lie homomorphism $µ : (L \otimes L) \lon...
Try typing <return> to proceed.
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LaTeX Warning: Command \^ invalid in math mode on input line 681.
! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent
#1 #2\egroup \spacefactor ...
l.681 ...$T.homomorphism$ is a Lie homomorphism $Â
µ : (L \otimes L) \longrig...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)
! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor
\accent@spacefactor
l.681 ...$T.homomorphism$ is a Lie homomorphism $Â
µ : (L \otimes L) \longrig...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.
Missing character: There is no ç in font zpsycmrv!
! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.682 \item $
T.pairing(x,y)$ is a function which inputs two elements $x, y$...
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! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
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l.682 \item $
T.pairing(x,y)$ is a function which inputs two elements $x, y$...
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See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
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l.682 \item $
T.pairing(x,y)$ is a function which inputs two elements $x, y$...
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l.683 \end{itemize}
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! LaTeX Error: Something's wrong--perhaps a missing \item.
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Type H <return> for immediate help.
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l.683 \end{itemize}
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! LaTeX Error: Something's wrong--perhaps a missing \item.
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l.683 \end{itemize}
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Chapter 11.
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l.734 \item $
P.freeGroup$ is a free group $F$,
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P.freeGroup$ is a free group $F$,
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l.734 \item $
P.freeGroup$ is a free group $F$,
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l.735 \item $
P.relators$ is a list $S$ of words in $F$,
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l.735 \item $
P.relators$ is a list $S$ of words in $F$,
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l.735 \item $
P.relators$ is a list $S$ of words in $F$,
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l.736 \end{itemize}
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Type H <return> for immediate help.
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l.736 \end{itemize}
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Chapter 12.
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l.771 \item p
rints the dimension of the orbit polytope $P(G,v)$;
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l.771 \item p
rints the dimension of the orbit polytope $P(G,v)$;
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l.771 \item p
rints the dimension of the orbit polytope $P(G,v)$;
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l.772 \item p
rints the degree of a vertex in the graph of $P(G,v)$;
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l.772 \item p
rints the degree of a vertex in the graph of $P(G,v)$;
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l.772 \item p
rints the degree of a vertex in the graph of $P(G,v)$;
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l.773 \item v
isualizes the graph of $P(G,v)$;
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! LaTeX Error: Something's wrong--perhaps a missing \item.
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l.773 \item v
isualizes the graph of $P(G,v)$;
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l.773 \item v
isualizes the graph of $P(G,v)$;
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! LaTeX Error: Something's wrong--perhaps a missing \item.
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l.774 \item v
isualizes the Schlegel diagram of $P(G,v)$;
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l.774 \item v
isualizes the Schlegel diagram of $P(G,v)$;
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! LaTeX Error: Something's wrong--perhaps a missing \item.
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l.774 \item v
isualizes the Schlegel diagram of $P(G,v)$;
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Type H <return> for immediate help.
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l.775 \item v
isualizes $P(G,v)$ if the polytope is of dimension 2 or 3.
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! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
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l.775 \item v
isualizes $P(G,v)$ if the polytope is of dimension 2 or 3.
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! LaTeX Error: Something's wrong--perhaps a missing \item.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
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l.775 \item v
isualizes $P(G,v)$ if the polytope is of dimension 2 or 3.
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! LaTeX Error: Something's wrong--perhaps a missing \item.
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l.776 \end{itemize}
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l.776 \end{itemize}
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l.776 \end{itemize}
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! LaTeX Error: Something's wrong--perhaps a missing \item.
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l.784 \item $
R!.dimension(k)$ is a function which returns the number of $G$...
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! LaTeX Error: Something's wrong--perhaps a missing \item.
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l.784 \item $
R!.dimension(k)$ is a function which returns the number of $G$...
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l.784 \item $
R!.dimension(k)$ is a function which returns the number of $G$...
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Type H <return> for immediate help.
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l.785 \item $
R!.stabilizer(k,n)$ is a function which returns the stabilizer...
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! LaTeX Error: Something's wrong--perhaps a missing \item.
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l.785 \item $
R!.stabilizer(k,n)$ is a function which returns the stabilizer...
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! LaTeX Error: Something's wrong--perhaps a missing \item.
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l.785 \item $
R!.stabilizer(k,n)$ is a function which returns the stabilizer...
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! LaTeX Error: Something's wrong--perhaps a missing \item.
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l.786 \item I
f all faces of dimension {\textless}$k+1$ have trivial stabili...
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! LaTeX Error: Something's wrong--perhaps a missing \item.
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l.786 \item I
f all faces of dimension {\textless}$k+1$ have trivial stabili...
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l.786 \item I
f all faces of dimension {\textless}$k+1$ have trivial stabili...
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l.787 \item $
R!.elements$, $R!.group$, $R!.properties$ are as in a $ZG$-res...
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l.787 \item $
R!.elements$, $R!.group$, $R!.properties$ are as in a $ZG$-res...
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l.787 \item $
R!.elements$, $R!.group$, $R!.properties$ are as in a $ZG$-res...
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l.788 \end{itemize}
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l.788 \end{itemize}
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l.788 \end{itemize}
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l.797 \item $
P.generators$ is a list of all those elements $g$ in $G$ such ...
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l.797 \item $
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l.797 \item $
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l.798 \item $
P.vector$ is the vector $v$.
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l.798 \item $
P.vector$ is the vector $v$.
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l.798 \item $
P.vector$ is the vector $v$.
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P.hasseDiagram$ is the Hasse diagram of the cone at $v$.
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P.hasseDiagram$ is the Hasse diagram of the cone at $v$.
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l.799 \item $
P.hasseDiagram$ is the Hasse diagram of the cone at $v$.
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l.800 \end{itemize}
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l.800 \end{itemize}
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Chapter 13.
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Chapter 14.
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Chapter 15.
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R.freeModule$ is the free module $FG$ of rank one.
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R.freeModule$ is the free module $FG$ of rank one.
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Chapter 16.
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Chapter 17.
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Chapter 25.
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