GAP (CTblLib) - References

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### References

[GAP] GAP – Groups, Algorithms, and Programming, Version 4.5.0, The GAP Group (2012), http://www.gap-system.org.

[Bos90] Bosma, W., Canonical bases for cyclotomic fields, Appl. Algebra Engrg. Comm. Comput., 1 (2) (1990), 125–134.

[Bre11] Breuer, T., Computing character tables of groups of type M.G.A, LMS J. Comput. Math., 14 (2011), 173–178.

[Brea] Breuer, T., Ambiguous Class Fusions in the GAP Character Table Library, http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc/ambigfus.pdf.

[Breb] Breuer, T., Constructing Character Tables of Central Extensions in GAP, http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc/ctocenex.pdf.

[Brec] Breuer, T., GAP computations concerning probabilistic generation of finite simple groups, arXiv:0710.3267.

[BGLMN10] Breuer, T., Guralnick, R. M., Lucchini, A., Maróti, A. and Nagy, G. P., Hamiltonian cycles in the generating graphs of finite groups, Bull. London Math. Soc., 42 (4) (2010), 621–633.

[BL12] Breuer, T. and Lübeck, F., Browse, ncurses interface and browsing applications, Version 1.8.2 (2012)
(GAP package), http://www.math.rwth-aachen.de/~Browse.

[BN95] Breuer, T. and Norton, S. P., Improvements to the Atlas, The Clarendon Press Oxford University Press, London Mathematical Society Monographs. New Series, 11, New York (1995), 297–327
(Appendix 2 by T. Breuer and S. Norton, Oxford Science Publications).

[Bred] Breuer, T., Permutation Characters in GAP, http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc/ctblpope.pdf.

[Bree] Breuer, T., Using Table Automorphisms for Constructing Character Tables in GAP, http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc/ctblcons.pdf.

[Cla05] Claßen-Houben, M., Jordan-Zerlegung der Charaktere für die GAP-Charaktertafeln der endlichen Gruppen vom Lie-Typ, Diplomarbeit, Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule, Aachen, Germany (2005).

[CCNPW85] Conway, J. H., Curtis, R. T., Norton, S. P., Parker, R. A. and Wilson, R. A., Atlas of finite groups, Oxford University Press, Eynsham (1985), xxxiv+252 pages
(Maximal subgroups and ordinary characters for simple groups, With computational assistance from J. G. Thackray).

[Dan06] Dany, S., Berechnung von Charaktertafeln zentraler Erweiterungen ausgewählter Gruppen, Diplomarbeit, Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule, Aachen, Germany (2006).

[Han88] Hanrath, W., Irreduzible Darstellungen von Raumgruppen, Dissertation, Rheinisch Westfälische Technische Hochschule, Aachen, Germany (1988).

[HJLP] Hiss, G., Jansen, C., Lux, K. and Parker, R. A., Computational Modular Character Theory, http://www.math.rwth-aachen.de/~MOC/CoMoChaT/.

[HP89] Holt, D. F. and Plesken, W., Perfect groups, The Clarendon Press Oxford University Press, Oxford Mathematical Monographs, New York (1989), xii+364 pages
(With an appendix by W. Hanrath, Oxford Science Publications).

[JLPW95] Jansen, C., Lux, K., Parker, R. and Wilson, R., An atlas of Brauer characters, The Clarendon Press Oxford University Press, London Mathematical Society Monographs. New Series, 11, New York (1995), xviii+327 pages
(Appendix 2 by T. Breuer and S. Norton, Oxford Science Publications).

[LP91] Lux, K. and Pahlings, H. (Michler, G. O. and Ringel, C. M., Eds.), Computational aspects of representation theory of finite groups, in Representation theory of finite groups and finite-dimensional algebras (Bielefeld, 1991), Birkhäuser, Progr. Math., 95, Basel (1991), 37–64.

[NMP11] Naughton, L., Merkwitz, T. and Pfeiffer, G., TomLib, The GAP Library of Tables of Marks, Version 1.2.1 (2011)
(GAP package), http://schmidt.nuigalway.ie/tomlib/tomlib.

[NPP84] Neubüser, J., Pahlings, H. and Plesken, W. (Atkinson, M. D., Ed.), CAS; design and use of a system for the handling of characters of finite groups, in Computational group theory (Durham, 1982), Academic Press, London (1984), 195–247.

[Noe02] Noeske, F., Zur Darstellungstheorie der Schurschen Erweiterungen symmetrischer Gruppen, Diplomarbeit, Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule (2002).

[Ost86] Ostermann, T., Charaktertafeln von Sylownormalisatoren sporadischer einfacher Gruppen, Universität Essen, Universität Essen Fachbereich Mathematik, Vorlesungen aus dem Fachbereich Mathematik der Universität GH Essen [Lecture Notes in Mathematics at the University of Essen], 14, Essen (1986), x+187 pages.

[WPNBB07] Wilson, R. A., Parker, R. A., Nickerson, S., Bray, J. N. and Breuer, T., AtlasRep, A GAP Interface to the Atlas of Group Representations, Version 1.3.1 (2007)
(Refereed GAP package), http://www.math.rwth-aachen.de/~Thomas.Breuer/atlasrep.

[WPNBB11] Wilson, R. A., Parker, R. A., Nickerson, S., Bray, J. N. and Breuer, T., AtlasRep, A GAP Interface to the Atlas of Group Representations, Version 1.5 (2011)
(Refereed GAP package), http://www.math.rwth-aachen.de/~Thomas.Breuer/atlasrep.

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