<html><head><title>[xgap] 5.10 GraphicSubgroupLattice, Information Menu</title></head> <body text="#000000" bgcolor="#ffffff"> [<a href = "C005S000.htm">Up</a>] [<a href ="C005S009.htm">Previous</a>] [<a href ="C005S011.htm">Next</a>] [<a href = "theindex.htm">Index</a>] <h1>5.10 GraphicSubgroupLattice, Information Menu</h1><p> <p> Note that this section does not deal with the case of a finitely presented group. See <a href="C005S013.htm">GraphicSubgroupLattice for FpGroups, Information Menu</a> for this case. <p> Placing the pointer inside a vertex (selected or not) and pressing the <strong>right</strong> mouse button pops up the ``Information'' menu. Clicking on any of the text lines will compute the corresponding property of the subgroup <var>u</var> associated with this vertex. Clicking on <code>all</code> will compute all properties, clicking on <code>close</code> will close the ``Information'' menu. <p> <a name = "SSEC1"></a> <li><code>Size</code> <p> computes and displays the size of <var>u</var>. See also <a href="../../../doc/htm/ref/C028S003.htm#SSEC6">Size</a> in the <font face="Gill Sans,Helvetica,Arial">GAP</font> reference manual. <p> <a name = "SSEC2"></a> <li><code>Index</code> <p> computes and displays the index of <var>u</var> in the whole group. See also <a href="../../../doc/htm/ref/C037S003.htm#SSEC3">IndexInWholeGroup</a> in the <font face="Gill Sans,Helvetica,Arial">GAP</font> reference manual. <p> <a name = "SSEC3"></a> <li><code>IsAbelian</code> <p> <a name = "SSEC4"></a> <li><code>IsCyclic</code> <p> <a name = "SSEC5"></a> <li><code>IsNilpotent</code> <p> <a name = "SSEC6"></a> <li><code>IsPerfect</code> <p> <a name = "SSEC7"></a> <li><code>IsSimple</code> <p> <a name = "SSEC8"></a> <li><code>IsSolvable</code> <p> computes and displays the corresponding property of <var>u</var>. See also <a href="../../../doc/htm/ref/C033S004.htm#SSEC9">IsAbelian</a>, <a href="../../../doc/htm/ref/C037S014.htm#SSEC1">IsCyclic</a>, <a href="../../../doc/htm/ref/C037S014.htm#SSEC3">IsNilpotentGroup</a>, <a href="../../../doc/htm/ref/C037S014.htm#SSEC4">IsPerfectGroup</a>, <a href="../../../doc/htm/ref/C037S014.htm#SSEC9">IsSimpleGroup</a>, and <a href="../../../doc/htm/ref/C037S014.htm#SSEC5">IsSolvableGroup</a> in the <font face="Gill Sans,Helvetica,Arial">GAP</font> reference manual. <p> <a name = "SSEC9"></a> <li><code>IsCentral</code> <p> <a name = "SSEC10"></a> <li><code>IsNormal</code> <p> computes and displays the corresponding property of <var>u</var> with respect to the whole group. See also <a href="../../../doc/htm/ref/C033S004.htm#SSEC8">IsCentral</a> and <a href="../../../doc/htm/ref/C037S003.htm#SSEC6">IsNormal</a> in the <font face="Gill Sans,Helvetica,Arial">GAP</font> reference manual. <p> <a name = "SSEC11"></a> <li><code>Isomorphism</code> <p> computes and displays the isomorphism type of <var>u</var>. This will only work if the size of <var>u</var> is small. See <a href="badlink:ref:IdGroup">IdGroup</a> in the <font face="Gill Sans,Helvetica,Arial">GAP</font> reference manual for details. <p> Note that the exact result of all these information displays is stored in the global variable <code>LastResultOfInfoDisplay</code> after each operation. So you can access this easily from the <font face="Gill Sans,Helvetica,Arial">GAP</font> command prompt. It is also returned as <code>last</code> value. <p> <p> [<a href = "C005S000.htm">Up</a>] [<a href ="C005S009.htm">Previous</a>] [<a href ="C005S011.htm">Next</a>] [<a href = "theindex.htm">Index</a>] <P> <address>xgap manual<br>Mai 2003 </address></body></html>
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