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<title>GAP (CTblLib) - References</title>
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<p><a id="X7A6F98FD85F02BFE" name="X7A6F98FD85F02BFE"></a></p>
<h3>References</h3>
<p><a id="biBGAP" name="biBGAP"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>GAP</span>]
<i class='BibTitle'><strong class='pkg'>GAP</strong> –
Groups, Algorithms, and Programming,
Version 4.5.0</i>,
<span class='BibOrganization'>The GAP Group</span>
(<span class='BibYear'>2012</span>),
<span class='BibHowpublished'><a href="http://www.gap-system.org">http://www.gap-system.org</a></span>.
</p>
<p><a id="biBBos90" name="biBBos90"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1325517">Bos90</a></span>] <b class='BibAuthor'>Bosma, W.</b>,
<i class='BibTitle'>Canonical bases for cyclotomic fields</i>,
<span class='BibJournal'>Appl. Algebra Engrg. Comm. Comput.</span>,
<em class='BibVolume'>1</em> (<span class='BibNumber'>2</span>)
(<span class='BibYear'>1990</span>),
<span class='BibPages'>125–134</span>.
</p>
<p><a id="biBBre11" name="biBBre11"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=2831228">Bre11</a></span>] <b class='BibAuthor'>Breuer, T.</b>,
<i class='BibTitle'>Computing character tables of groups of type
M.G.A</i>,
<span class='BibJournal'>LMS J. Comput. Math.</span>,
<em class='BibVolume'>14</em>
(<span class='BibYear'>2011</span>),
<span class='BibPages'>173–178</span>.
</p>
<p><a id="biBAmbigFus" name="biBAmbigFus"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Brea</span>] <b class='BibAuthor'>Breuer, T.</b>,
<i class='BibTitle'>Ambiguous Class Fusions in the <strong class='pkg'>GAP</strong>
Character Table Library</i>,
<span class='BibHowpublished'><a href="http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc/ambigfus.pdf">http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc/ambigfus.pdf</a></span>.
</p>
<p><a id="biBCCE" name="biBCCE"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Breb</span>] <b class='BibAuthor'>Breuer, T.</b>,
<i class='BibTitle'>Constructing Character Tables of Central Extensions
in <strong class='pkg'>GAP</strong></i>,
<span class='BibHowpublished'><a href="http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc/ctocenex.pdf">http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc/ctocenex.pdf</a></span>.
</p>
<p><a id="biBProbGenArxiv" name="biBProbGenArxiv"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Brec</span>] <b class='BibAuthor'>Breuer, T.</b>,
<i class='BibTitle'><strong class='pkg'>GAP</strong> computations concerning
probabilistic generation of finite simple groups</i>,
<span class='BibHowpublished'>arXiv:0710.3267</span>.
</p>
<p><a id="biBGMN" name="biBGMN"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=2669683">BGLMN10</a></span>] <b class='BibAuthor'>Breuer, T., Guralnick, R. M., Lucchini, A., Maróti, A. and Nagy, G. P.</b>,
<i class='BibTitle'>Hamiltonian cycles in the generating graphs of finite groups</i>,
<span class='BibJournal'>Bull. London Math. Soc.</span>,
<em class='BibVolume'>42</em> (<span class='BibNumber'>4</span>)
(<span class='BibYear'>2010</span>),
<span class='BibPages'>621–633</span>.
</p>
<p><a id="biBBrowse" name="biBBrowse"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BL14</span>] <b class='BibAuthor'>Breuer, T. and Lübeck, F.</b>,
<i class='BibTitle'>Browse, ncurses interface and browsing applications,
Version 1.8.6</i>
(<span class='BibYear'>2014</span>)<br />
(<span class='BibNote'><strong class='pkg'>GAP</strong> package</span>),
<span class='BibHowpublished'><a href="http://www.math.rwth-aachen.de/~Browse">http://www.math.rwth-aachen.de/~Browse</a></span>.
</p>
<p><a id="biBBN95" name="biBBN95"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1367961">BN95</a></span>] <b class='BibAuthor'>Breuer, T. and Norton, S. P.</b>,
<i class='BibTitle'>Improvements to the Atlas</i>,
<span class='BibPublisher'>The Clarendon Press Oxford University Press</span>,
<span class='BibSeries'>London Mathematical Society Monographs. New Series</span>,
<em class='BibVolume'>11</em>,
<span class='BibAddress'>New York</span>
(<span class='BibYear'>1995</span>),
<span class='BibPages'>297–327</span><br />
(<span class='BibNote'>Appendix 2 by T. Breuer and S. Norton,
Oxford Science Publications</span>).
</p>
<p><a id="biBctblpope" name="biBctblpope"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Bred</span>] <b class='BibAuthor'>Breuer, T.</b>,
<i class='BibTitle'>Permutation Characters in <strong class='pkg'>GAP</strong></i>,
<span class='BibHowpublished'><a href="http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc/ctblpope.pdf">http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc/ctblpope.pdf</a></span>.
</p>
<p><a id="biBAuto" name="biBAuto"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Bree</span>] <b class='BibAuthor'>Breuer, T.</b>,
<i class='BibTitle'>Using Table Automorphisms for Constructing Character Tables
in <strong class='pkg'>GAP</strong></i>,
<span class='BibHowpublished'><a href="http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc/ctblcons.pdf">http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc/ctblcons.pdf</a></span>.
</p>
<p><a id="biBCla05" name="biBCla05"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Cla05</span>] <b class='BibAuthor'>Claßen-Houben, M.</b>,
<i class='BibTitle'>Jordan-Zerlegung der Charaktere für
die
<strong class='pkg'>GAP</strong>-Charaktertafeln der endlichen Gruppen
vom Lie-Typ</i>,
<span class='BibType'>Diplomarbeit</span>,
<span class='BibSchool'>Lehrstuhl D für Mathematik,
Rheinisch Westfälische Technische Hochschule</span>,
<span class='BibAddress'>Aachen, Germany</span>
(<span class='BibYear'>2005</span>).
</p>
<p><a id="biBCCN85" name="biBCCN85"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=827219">CCNPW85</a></span>] <b class='BibAuthor'>Conway, J. H., Curtis, R. T., Norton, S. P., Parker, R. A. and Wilson, R. A.</b>,
<i class='BibTitle'>Atlas of finite groups</i>,
<span class='BibPublisher'>Oxford University Press</span>,
<span class='BibAddress'>Eynsham</span>
(<span class='BibYear'>1985</span>),
<span class='BibPages'>xxxiv+252 pages</span><br />
(<span class='BibNote'>Maximal subgroups and ordinary characters for simple groups,
With computational assistance from J. G. Thackray</span>).
</p>
<p><a id="biBDan06" name="biBDan06"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Dan06</span>] <b class='BibAuthor'>Dany, S.</b>,
<i class='BibTitle'>Berechnung von Charaktertafeln zentraler Erweiterungen
ausgewählter Gruppen</i>,
<span class='BibType'>Diplomarbeit</span>,
<span class='BibSchool'>Lehrstuhl D für Mathematik,
Rheinisch Westfälische Technische Hochschule</span>,
<span class='BibAddress'>Aachen, Germany</span>
(<span class='BibYear'>2006</span>).
</p>
<p><a id="biBHan88" name="biBHan88"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Han88</span>] <b class='BibAuthor'>Hanrath, W.</b>,
<i class='BibTitle'>Irreduzible Darstellungen von Raumgruppen</i>,
<span class='BibType'>Dissertation</span>,
<span class='BibSchool'>Rheinisch Westfälische
Technische Hochschule</span>,
<span class='BibAddress'>Aachen, Germany</span>
(<span class='BibYear'>1988</span>).
</p>
<p><a id="biBHJLP92" name="biBHJLP92"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>HJLP</span>] <b class='BibAuthor'>Hiss, G., Jansen, C., Lux, K. and Parker, R. A.</b>,
<i class='BibTitle'>Computational Modular Character Theory</i>,
<span class='BibHowpublished'><a href="http://www.math.rwth-aachen.de/~MOC/CoMoChaT/">http://www.math.rwth-aachen.de/~MOC/CoMoChaT/</a></span>.
</p>
<p><a id="biBHP89" name="biBHP89"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1025760">HP89</a></span>] <b class='BibAuthor'>Holt, D. F. and Plesken, W.</b>,
<i class='BibTitle'>Perfect groups</i>,
<span class='BibPublisher'>The Clarendon Press Oxford University Press</span>,
<span class='BibSeries'>Oxford Mathematical Monographs</span>,
<span class='BibAddress'>New York</span>
(<span class='BibYear'>1989</span>),
<span class='BibPages'>xii+364 pages</span><br />
(<span class='BibNote'>With an appendix by W. Hanrath,
Oxford Science Publications</span>).
</p>
<p><a id="biBJLPW95" name="biBJLPW95"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1367961">JLPW95</a></span>] <b class='BibAuthor'>Jansen, C., Lux, K., Parker, R. and Wilson, R.</b>,
<i class='BibTitle'>An atlas of Brauer characters</i>,
<span class='BibPublisher'>The Clarendon Press Oxford University Press</span>,
<span class='BibSeries'>London Mathematical Society Monographs. New Series</span>,
<em class='BibVolume'>11</em>,
<span class='BibAddress'>New York</span>
(<span class='BibYear'>1995</span>),
<span class='BibPages'>xviii+327 pages</span><br />
(<span class='BibNote'>Appendix 2 by T. Breuer and S. Norton,
Oxford Science Publications</span>).
</p>
<p><a id="biBLP91" name="biBLP91"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1112157">LP91</a></span>] <b class='BibAuthor'>Lux, K. and Pahlings, H.</b> (<span class='BibEditor'>Michler, G. O. and Ringel, C. M.</span>, Eds.),
<i class='BibTitle'>Computational aspects of representation theory of finite
groups</i>,
in <i class='BibBooktitle'>Representation theory of finite groups and finite-dimensional
algebras (Bielefeld, 1991)</i>,
<span class='BibPublisher'>Birkhäuser</span>,
<span class='BibSeries'>Progr. Math.</span>,
<em class='BibVolume'>95</em>,
<span class='BibAddress'>Basel</span>
(<span class='BibYear'>1991</span>),
<span class='BibPages'>37–64</span>.
</p>
<p><a id="biBTomLib" name="biBTomLib"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>NMP11</span>] <b class='BibAuthor'>Naughton, L., Merkwitz, T. and Pfeiffer, G.</b>,
<i class='BibTitle'>TomLib,
The <strong class='pkg'>GAP</strong> Library of Tables of Marks,
Version 1.2.1</i>
(<span class='BibYear'>2011</span>)<br />
(<span class='BibNote'>GAP package</span>),
<span class='BibHowpublished'><a href="http://schmidt.nuigalway.ie/tomlib/tomlib">http://schmidt.nuigalway.ie/tomlib/tomlib</a></span>.
</p>
<p><a id="biBTomLib" name="biBTomLib"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>NMP13</span>] <b class='BibAuthor'>Naughton, L., Merkwitz, T. and Pfeiffer, G.</b>,
<i class='BibTitle'>TomLib,
The <strong class='pkg'>GAP</strong> Library of Tables of Marks,
Version 1.2.4</i>
(<span class='BibYear'>2013</span>)<br />
(<span class='BibNote'>GAP package</span>),
<span class='BibHowpublished'><a href="http://schmidt.nuigalway.ie/tomlib/tomlib">http://schmidt.nuigalway.ie/tomlib/tomlib</a></span>.
</p>
<p><a id="biBNPP84" name="biBNPP84"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=760658">NPP84</a></span>] <b class='BibAuthor'>Neubüser, J., Pahlings, H. and Plesken, W.</b> (<span class='BibEditor'>Atkinson, M. D.</span>, Ed.),
<i class='BibTitle'>CAS; design and use of a system for the handling of
characters of finite groups</i>,
in <i class='BibBooktitle'>Computational group theory (Durham, 1982)</i>,
<span class='BibPublisher'>Academic Press</span>,
<span class='BibAddress'>London</span>
(<span class='BibYear'>1984</span>),
<span class='BibPages'>195–247</span>.
</p>
<p><a id="biBNoe02" name="biBNoe02"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Noe02</span>] <b class='BibAuthor'>Noeske, F.</b>,
<i class='BibTitle'>Zur Darstellungstheorie der Schurschen Erweiterungen
symmetrischer Gruppen</i>,
<span class='BibType'>Diplomarbeit</span>,
<span class='BibSchool'>Lehrstuhl D für Mathematik,
Rheinisch Westfälische
Technische Hochschule</span>
(<span class='BibYear'>2002</span>).
</p>
<p><a id="biBOst86" name="biBOst86"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=872094">Ost86</a></span>] <b class='BibAuthor'>Ostermann, T.</b>,
<i class='BibTitle'>Charaktertafeln von Sylownormalisatoren sporadischer
einfacher Gruppen</i>,
<span class='BibOrganization'>Universität Essen</span>,
<span class='BibPublisher'>Universität Essen Fachbereich Mathematik</span>,
<span class='BibSeries'>Vorlesungen aus dem Fachbereich Mathematik der
Universität
GH Essen [Lecture Notes in Mathematics at the University of
Essen]</span>,
<em class='BibVolume'>14</em>,
<span class='BibAddress'>Essen</span>
(<span class='BibYear'>1986</span>),
<span class='BibPages'>x+187 pages</span>.
</p>
<p><a id="biBAtlasRep" name="biBAtlasRep"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>WPNBB07</span>] <b class='BibAuthor'>Wilson, R. A., Parker, R. A., Nickerson, S., Bray, J. N. and Breuer, T.</b>,
<i class='BibTitle'><strong class='pkg'>AtlasRep</strong>,
A <strong class='pkg'>GAP</strong> Interface
to the Atlas of Group Representations,
Version 1.3.1</i>
(<span class='BibYear'>2007</span>)<br />
(<span class='BibNote'>Refereed <strong class='pkg'>GAP</strong> package</span>),
<span class='BibHowpublished'><a href="http://www.math.rwth-aachen.de/~Thomas.Breuer/atlasrep">http://www.math.rwth-aachen.de/~Thomas.Breuer/atlasrep</a></span>.
</p>
<p><a id="biBAtlasRep" name="biBAtlasRep"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>WPNBB16</span>] <b class='BibAuthor'>Wilson, R. A., Parker, R. A., Nickerson, S., Bray, J. N. and Breuer, T.</b>,
<i class='BibTitle'>AtlasRep, A <strong class='pkg'>GAP</strong> Interface
to the Atlas of Group Representations,
Version 1.5.1</i>
(<span class='BibYear'>2016</span>)<br />
(<span class='BibNote'>Refereed <strong class='pkg'>GAP</strong> package</span>),
<span class='BibHowpublished'><a href="http://www.math.rwth-aachen.de/~Thomas.Breuer/atlasrep">http://www.math.rwth-aachen.de/~Thomas.Breuer/atlasrep</a></span>.
</p>
<p> </p>
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