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The character table of a group of shape (2×2.G):2

Published online by Cambridge University Press:  01 March 2010

R. W. Barraclough*
Affiliation:
5 Jupiter House, Calleva Park, Aldermaston, RG7 8NN, United Kingdom (email: [email protected])

Abstract

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We use the technique of Fischer matrices to write a program to produce the character table of a group of shape (2×2.G):2 from the character tables of G, G:2, 2.G and 2.G:2.

Type
Research Article
Copyright
Copyright © London Mathematical Society 2010

References

[1] Ali, F. and Moori, J., ‘The Fischer–Clifford matrices of a maximal subgroup of Fi′ 24’, Represent. Theory 7 (2003) 300321 (electronic).Google Scholar
[2] Conway, J. H., Curtis, R. T., Norton, S. P., Parker, R. A. and Wilson, R. A., ‘An Atlas of finite groups’, Maximal subgroups and ordinary characters for simple groups (Oxford University Press, Eynsham, 1985). With computational assistance from J. G. Thackray.Google Scholar
[3] Fischer, B., ‘Clifford matrices’, Representation theory of finite groups and finite-dimensional Lie algebras (eds Michler, G. O. and Ringel, C. M.; Birkhäuser, Basel, 1991) 116.Google Scholar
[4] The GAP Group. GAP—Groups, Algorithms, and Programming, version 4.3, 2002 (www.gap-system.org).Google Scholar
[5] Isaacs, I. M., Character theory of finite groups (Dover, New York, 1994).Google Scholar
[6] Karpilovsky, G., Projective representations of finite groups, Monographs and Textbooks in Pure and Applied Mathematics, 94 (Marcel Dekker, New York, 1985).Google Scholar
[7] Moori, J., On the groups G + and of the forms 210:M 22 and . PhD Thesis, University of Birmingham, 1975.Google Scholar
[8] Moori, J. and Mpono, Z., ‘The Fischer–Clifford matrices of the group 26:Sp 6(2)’, Quaest. Math. 22 (1999) 257298.Google Scholar
[9] Nobusawa, N., ‘Conjugacy classes and representation of groups’, Osaka J. Math. 27 (1990) 223228.Google Scholar
Supplementary material: File

Barraclough supplementary material

Appendix GAP program

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