This is pdfTeX, Version 3.141592-1.40.0-rc4 (Web2C 7.5.5) (format=pdflatex 2007.1.7) 28 JAN 2008 16:01 entering extended mode **manual (./manual.tex LaTeX2e <2005/12/01> Babel <v3.8h> and hyphenation patterns for english, usenglishmax, dumylang, noh yphenation, basque, bulgarian, coptic, welsh, czech, slovak, german, ngerman, d anish, spanish, catalan, galician, esperanto, estonian, finnish, french, greek, monogreek, ancientgreek, croatian, hungarian, interlingua, ibycus, indonesian, icelandic, italian, latin, mongolian, dutch, norsk, polish, portuguese, pinyin , romanian, russian, slovene, uppersorbian, serbian, swedish, turkish, ukenglis h, ukrainian, loaded. 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(/usr/local/gwTeX/texmf.texlive/tex/latex/amsfonts/umsa.fd File: umsa.fd 2002/01/19 v2.2g AMS font definitions ) LaTeX Font Info: Try loading font information for U+msb on input line 2. (/usr/local/gwTeX/texmf.texlive/tex/latex/amsfonts/umsb.fd File: umsb.fd 2002/01/19 v2.2g AMS font definitions ) LaTeX Font Info: Font shape `OT1/ptm/bx/n' in size <8> not available (Font) Font shape `OT1/ptm/b/n' tried instead on input line 2. LaTeX Font Info: Font shape `OT1/ptm/bx/n' in size <6> not available (Font) Font shape `OT1/ptm/b/n' tried instead on input line 2. [3 ] LaTeX Font Info: Font shape `OT1/phv/bx/n' in size <10.95> not available (Font) Font shape `OT1/phv/b/n' tried instead on input line 51. LaTeX Font Info: Font shape `OT1/phv/b/n' will be (Font) scaled to size 9.85492pt on input line 51. ) \tf@toc=\write6 \openout6 = `manual.toc'. [4] Chapter 1. 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Underfull \hbox (badness 10000) in paragraph at lines 188--189 \OT1/ptm/m/n/10.95 The main func-tions of \OT1/phv/m/n/10.95 Wed-derga \OT1/ptm /m/n/10.95 are \OT1/pcr/m/n/10.95 WedderburnDecomposition \OT1/ptm/m/n/10.95 ([ ][]2.1.1[][]) and [] [5 ] Underfull \hbox (badness 10000) in paragraph at lines 233--234 \OT1/ptm/m/n/10.95 Instead of \OT1/pcr/m/n/10.95 WedderburnDecomposition \OT1/p tm/m/n/10.95 ([][]2.1.1[][]), that re-turns a list of \OT1/phv/m/n/10.95 GAP \O T1/ptm/m/n/10.95 ob-jects, [] Underfull \hbox (badness 2644) in paragraph at lines 233--234 \OT1/pcr/m/n/10.95 WedderburnDecompositionInfo \OT1/ptm/m/n/10.95 ([][]2.1.2[][ ]) re-turns the nu-mer-i-cal de-scrip-tion of these ob-jects. [] Underfull \hbox (badness 2334) in paragraph at lines 243--244 []\OT1/ptm/m/n/10.95 To use the \OT1/phv/m/n/10.95 Wed-derga \OT1/ptm/m/n/10.95 on-line help it is nec-es-sary to in-stall the \OT1/phv/m/n/10.95 GAP\OT1/ptm/ m/n/10.95 4 pack-age \OT1/phv/m/n/10.95 GAP- [] Underfull \hbox (badness 10000) in paragraph at lines 245--246 []\OT1/phv/m/n/10.95 Wedderga \OT1/ptm/m/n/10.95 is dis-tributed in stan-dard f or-mats (\OT1/pcr/m/n/10.95 tar.gz\OT1/ptm/m/n/10.95 , \OT1/pcr/m/n/10.95 tar.b z2\OT1/ptm/m/n/10.95 , \OT1/pcr/m/n/10.95 -win.zip\OT1/ptm/m/n/10.95 ) [] Underfull \hbox (badness 10000) in paragraph at lines 245--246 \OT1/ptm/m/n/10.95 and can be ob-tained from [][]\OT1/pcr/m/n/10.95 http://www. um.es/adelrio/wedderga.htm[][]\OT1/ptm/m/n/10.95 , its mir- [] Underfull \hbox (badness 10000) in paragraph at lines 245--246 \OT1/ptm/m/n/10.95 ror [][]\OT1/pcr/m/n/10.95 http://www.cs.st-andrews.ac.uk/~a lexk/wedderga.htm[][] \OT1/ptm/m/n/10.95 or the page [] Underfull \hbox (badness 1558) in paragraph at lines 245--246 [][]\OT1/pcr/m/n/10.95 http://www.gap-system.org/Packages/wedderga.html[][] \OT 1/ptm/m/n/10.95 at the \OT1/phv/m/n/10.95 GAP \OT1/ptm/m/n/10.95 web site. The lat-ter [] [6] LaTeX Font Info: Font shape `OT1/phv/m/it' in size <10.95> not available (Font) Font shape `OT1/phv/m/sl' tried instead on input line 249. LaTeX Font Info: Font shape `OT1/phv/m/sl' will be (Font) scaled to size 9.85492pt on input line 249. [7] Chapter 2. [8 pdfTeX warning (ext4): destination with the same identifier (name{L.X8727342079 1F220E}) has been already used, duplicate ignored <to be read again> \endgroup \set@typeset@protect l.312 ] [9] [10] Underfull \hbox (badness 3209) in paragraph at lines 456--458 []\OT1/ptm/m/n/10.95 The next ex-am-ple shows the out-put of \OT1/pcr/m/n/10.95 WedderburnDecompositionInfo \OT1/ptm/m/n/10.95 for $\U/msb/m/n/10.95 Q\OML/ptm cm/m/it/10.95 G$ \OT1/ptm/m/n/10.95 and [] Underfull \hbox (badness 2538) in paragraph at lines 456--458 \U/msb/m/n/10.95 Q\OT1/ptmcm/m/n/10.95 (\OML/ptmcm/m/it/10.95 ^^X[]\OT1/ptmcm/m /n/10.95 )\OML/ptmcm/m/it/10.95 G$\OT1/ptm/m/n/10.95 , where $\OML/ptmcm/m/it/1 0.95 G \OT1/ptmcm/m/n/10.95 = \OML/ptmcm/m/it/10.95 SmallGroup\OT1/ptmcm/m/n/10 .95 (48\OML/ptmcm/m/it/10.95 ; \OT1/ptmcm/m/n/10.95 15)$\OT1/ptm/m/n/10.95 . Th e user can com-pare it with the out-put of [] [11] Underfull \hbox (badness 1308) in paragraph at lines 472--474 \OT1/ptm/m/n/10.95 are not in-te-gers and so the cor-re-spod-ing \OT1/ptm/m/it/ 10.95 Wed-der-burn com-po-nents \OT1/ptm/m/n/10.95 ([][]7.3[][]) are given as " frac- [] [12] [13] [14] [15] Chapter 3. Underfull \hbox (badness 10000) in paragraph at lines 740--743 [] [16 ] Underfull \hbox (badness 10000) in paragraph at lines 768--771 [] [17] Underfull \hbox (badness 10000) in paragraph at lines 797--800 [] [18] Chapter 4. Underfull \hbox (badness 10000) in paragraph at lines 887--890 [] [19 ] [20] Underfull \hbox (badness 10000) in paragraph at lines 1029--1030 \OT1/ptm/m/n/10.95 The out-put of \OT1/pcr/m/n/10.95 PrimitiveCentralIdempotent sBySP \OT1/ptm/m/n/10.95 con-tains the out-put of [] [21] [22] Chapter 5. [23 ] [24] [25] [26] [27] [28] Underfull \hbox (badness 10000) in paragraph at lines 1449--1452 [] [29] Underfull \hbox (badness 2689) in paragraph at lines 1459--1461 []\OT1/ptm/m/n/10.95 Similarly to magma rings, one can ob-tain the list of co-e f-fi-cients and el-e-ments with [] [30] Chapter 6. Underfull \hbox (badness 10000) in paragraph at lines 1519--1522 [] Underfull \hbox (badness 10000) in paragraph at lines 1550--1553 [] [31 ] Underfull \hbox (badness 10000) in paragraph at lines 1578--1581 [] Underfull \hbox (badness 10000) in paragraph at lines 1602--1605 [] [32] [33] Underfull \hbox (badness 10000) in paragraph at lines 1792--1795 [] [34] Underfull \hbox (badness 10000) in paragraph at lines 1824--1827 [] Underfull \hbox (badness 10000) in paragraph at lines 1851--1854 [] Underfull \hbox (badness 10000) in paragraph at lines 1867--1870 [] [35] [36] Chapter 7. pdfTeX warning (ext4): destination with the same identifier (name{L.X8727342079 1F220E}) has been already used, duplicate ignored <to be read again> \relax l.1920 \hyperdef{L}{X87273420791F220E}{} [37 ] [38]pdfTeX warning (ext4): destination with the same identifier (name{L.X7FB2 1779832CE1CB}) has been already used, duplicate ignored <to be read again> \relax l.1990 \hyperdef{L}{X7FB21779832CE1CB}{} [39] [40] [41] [42]pdfTeX warning (ext 4): destination with the same identifier (name{L.X81DAF5267D30C83A}) has been a lready used, duplicate ignored <to be read again> \relax l.2201 \hyperdef{L}{X81DAF5267D30C83A}{} [43] [44] (./manual.bbl (./manual.brf) \tf@brf=\write7 \openout7 = `manual.brf'. [45]) (./manual.ind [46 ] Underfull \hbox (badness 10000) in paragraph at lines 54--55 []\OT1/pcr/m/n/10.95 IsCompleteSetOfOrthogonalIdempotents\OT1/ptm/m/n/10.95 , [] Underfull \hbox (badness 10000) in paragraph at lines 62--64 []\OT1/pcr/m/n/10.95 IsSemisimple\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Zero\OT 1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Characteristic\OT1/ptm/m/n/10.95 -\OT1/pcr/ m/n/10.95 Group\OT1/ptm/m/n/10.95 - [] Underfull \hbox (badness 10000) in paragraph at lines 83--85 []\OT1/pcr/m/n/10.95 Primitive\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Central\OT 1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Idempotents\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n /10.95 By\OT1/ptm/m/n/10.95 -\OT1/pcr/m/n/10.95 Character\OT1/ptm/m/n/10.95 - [] Underfull \hbox (badness 10000) in paragraph at lines 86--88 []\OT1/pcr/m/n/10.95 PrimitiveCentralIdempotentsByStrongSP\OT1/ptm/m/n/10.95 , [] [47 ] [48 ]) (./manual.aux) ) Here is how much of TeX's memory you used: 4069 strings out of 94087 57004 string characters out of 1163859 2106129 words of memory out of 4557342 7060 multiletter control sequences out of 10000+50000 59910 words of font info for 109 fonts, out of 2000000 for 2000 645 hyphenation exceptions out of 5000 27i,7n,30p,1082b,631s stack positions out of 5000i,500n,6000p,200000b,50000s {/usr/local/gwTeX/texmf.texlive/fonts/enc/dvips/base/8r.enc} </usr/local/gwTeX/texmf.texlive/fonts/type1/bluesky/cm/cmex10.pfb></usr/local/g wTeX/texmf.texlive/fonts/type1/bluesky/cm/cmmi10.pfb></usr/local/gwTeX/texmf.te xlive/fonts/type1/bluesky/cm/cmr10.pfb></usr/local/gwTeX/texmf.texlive/fonts/ty pe1/bluesky/cm/cmsy10.pfb></usr/local/gwTeX/texmf.texlive/fonts/type1/public/cm ex/fmex9.pfb></usr/local/gwTeX/texmf.texlive/fonts/type1/bluesky/ams/msam10.pfb ></usr/local/gwTeX/texmf.texlive/fonts/type1/bluesky/ams/msbm10.pfb></usr/local /gwTeX/texmf.texlive/fonts/type1/bluesky/ams/msbm7.pfb></usr/local/gwTeX/texmf. texlive/fonts/type1/urw/courier/ucrr8a.pfb></usr/local/gwTeX/texmf.texlive/font s/type1/urw/courier/ucrro8a.pfb></usr/local/gwTeX/texmf.texlive/fonts/type1/urw /helvetic/uhvb8a.pfb></usr/local/gwTeX/texmf.texlive/fonts/type1/urw/helvetic/u hvr8a.pfb></usr/local/gwTeX/texmf.texlive/fonts/type1/urw/helvetic/uhvro8a.pfb> </usr/local/gwTeX/texmf.texlive/fonts/type1/urw/symbol/usyr.pfb></usr/local/gwT eX/texmf.texlive/fonts/type1/urw/times/utmb8a.pfb></usr/local/gwTeX/texmf.texli ve/fonts/type1/urw/times/utmr8a.pfb></usr/local/gwTeX/texmf.texlive/fonts/type1 /urw/times/utmri8a.pfb> Output written on manual.pdf (48 pages, 358941 bytes). 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