GAP (AtlasRep) - References

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[BGH+25] Breuer, T., Gutsche, S., Horn, M., Hulpke, A., Kohl, S., Lübeck, F. and Wensley, C., utils, Utility functions in GAP, Version 0.92 (2025)
(GAP package), https://gap-packages.github.io/utils.

[BHM09] Breuer, T., Höhler, I. and Müller, J., MFER, multiplicity-free endomorphism rings of permutation modules of the sporadic simple groups and their cyclic and bicyclic extensions, Version 1.0.0 (2009)
(GAP package), https://www.math.rwth-aachen.de/~MFER.

[BL26] Breuer, T. and Lübeck, F., Browse, ncurses interface and browsing applications, Version 1.8.22 (2026)
(GAP package), https://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).

[Bre14] Breuer, T., CTBlocks, Blocks of Character Tables, Version 0.9.3 (2014)
(GAP package), https://www.math.rwth-aachen.de/~Thomas.Breuer/ctblocks.

[Bre25] Breuer, T., The GAP Character Table Library, Version 1.3.11 (2025)
(GAP package), https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib.

[BSWW01] Bray, J. N., Suleiman, I. A. I., Walsh, P. G. and Wilson, R. A., Generating maximal subgroups of sporadic simple groups, Comm. Algebra, 29 (3) (2001), 1325–1337.

[CCN+85] 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).

[CP96] Cannon, J. J. and Playoust, C., An introduction to algebraic programming in Magma, School of Mathematics and Statistics, University of Sydney, Sydney, Australia (1996), http://www.math.usyd.edu.au:8000/u/magma.

[GAP25] GAP – Groups, Algorithms, and Programming, Version 4.15.1, The GAP Group (2025), http://www.gap-system.org.

[HL89] Hiss, G. and Lux, K., Brauer trees of sporadic groups, The Clarendon Press, Oxford University Press, Oxford Science Publications, New York (1989), x+526 pages.

[Hup67] Huppert, B., Endliche Gruppen. I, Springer-Verlag, Die Grundlehren der Mathematischen Wissenschaften, Band 134, Berlin (1967), xii+793 pages.

[Jan05] Jansen, C., The minimal degrees of faithful representations of the sporadic simple groups and their covering groups, LMS J. Comput. Math., 8 (2005), 122–144 (electronic).

[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).

[JSO14] (Bray, T., Ed.), The JavaScript Object Notation (JSON) Data Interchange Format (2014), http://www.rfc-editor.org/info/rfc7159, (10.17487/RFC7159).

[LN24] Lübeck, F. and Neunhöffer, M., GAPDoc, A Meta Package for GAP Documentation, Version 1.6.7 (2024)
(GAP package), https://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc.

[Lüb23] Lübeck, F., StandardFF, Standard finite fields and cyclic generators, Version 1.0 (2023)
(GAP package), https://github.com/frankluebeck/StandardFF/.

[NH25] Neunhöffer, M. and Horn, M., IO, Bindings for low level C library I/O routines, Version 4.9.3 (2025)
(GAP package), https://gap-packages.github.io/io.

[Nic06] Nickerson, S. J., An Atlas of Characteristic Zero Representations, Phd thesis, School of Mathematics, University of Birmingham (2006).

[NMP24] Naughton, L., Merkwitz, T. and Pfeiffer, G., TomLib, The GAP Library of Tables of Marks, Version 1.2.11 (2024)
(GAP package), http://schmidt.nuigalway.ie/tomlib.

[NSA+25] Neunhöffer, M., Seress, Á., Ankaralioglu, N., Brooksbank, P., Celler, F., Howe, S., Law, M., Linton, S., Malle, G., Niemeyer, A., O'Brien, E., Roney-Dougal, C. M. and Horn, M., recog, A collection of group recognition methods, Version 1.4.4 (2025)
(GAP package), https://gap-packages.github.io/recog.

[NW05] Nickerson, S. J. and Wilson, R. A., Semi-presentations for the sporadic simple groups, Experiment. Math., 14 (3) (2005), 359–371.

[Rin] Ringe, M., The C MeatAxe, Version 2.4, https://www.math.rwth-aachen.de/~MTX.

[SWW00] Suleiman, I. A. I., Walsh, P. G. and Wilson, R. A., Conjugacy classes in sporadic simple groups, Comm. Algebra, 28 (7) (2000), 3209–3222.

[Wil96] Wilson, R. A., Standard generators for sporadic simple groups, J. Algebra, 184 (2) (1996), 505–515.

[WWT+] Wilson, R. A., Walsh, P., Tripp, J., Suleiman, I., Parker, R. A., Norton, S. P., Nickerson, S., Linton, S., Bray, J. and Abbott, R., ATLAS of Finite Group Representations, http://atlas.math.rwth-aachen.de/Atlas/v3.

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