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Conjugacy Class Representatives in Fischer's Baby Monster

Published online by Cambridge University Press:  01 February 2010

Robert A. Wilson
Affiliation:
School of Mathematics and Statistics, The University of Birmingham, Edgbaston, Birmingham B15 2TT, [email protected]

Abstract

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A set conjugacy class representatives is given in this paper for the elements in Fischer's baby monster simple group, up to inversion.

Type
Research Article
Copyright
Copyright © London Mathematical Society 2002

References

1Conway, J. H., Curtis, R. T., Norton, S. P., Parker, R. A. and Wilson, R. A., An ATLAS of Finite Groups (Oxford University Press, 1985).Google Scholar
2Leon, J. S. and Sims, C. C., ‘The existence and uniqueness of a simple group generated by {3, 4}-transpositions’, Bull. Amer. Math. Soc. 83 (1977) 10391040.Google Scholar
3Parker, R. A., ‘The computer calculation of modular characters (The “Meat-axe”)‘, Computational group theory (ed. Atkinson, M. D., Academic Press, 1984) 261274Google Scholar
4Parker, R. A. and Wilson, R. A., ‘Computer construction of matrix representations of finite groups over finite fields’, J. Symbolic Comput. 9 (1990) 583590.CrossRefGoogle Scholar
5Parker, R. A. and Wilson, R. A., ‘Constructions of Fischer's Baby Monster over fields of characteristic not 2’, J. Algebra 229 (2000) 109117.Google Scholar
6Ringe, M., The CMeat-axe 2.3 documentation (Lehrstuhl D für Mathematik, Rheinisch Westfalische Technische Hochschule, Aachen, Germany, 1995)Google Scholar
7Schönert, M. et al. , GAP - groups, algorithms, and programming, 5th edn (Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule, Aachen, Germany, 1995).Google Scholar
8Suleiman, I.A.I., Walsh, P. G. and Wilson, R. A., ‘Conjugacy classes in sporadic simple groups’, Comm. Algebra 28 (2000) 32093222.Google Scholar
9Wilson, R. A., ‘A new construction of the Baby Monster, and its applications’, Bull. London Math. Soc. 25 (1993) 431437.Google Scholar
10Wilson, R. A., ‘Standard generators for sporadic simple groups’, J. Algebra 184(1996) 505515.CrossRefGoogle Scholar
11Wilson, R. A. et al. , ‘A world-wide-web atlas of group representations’, 19952002, http://www.mat.bham.ac.uk/atlas/.Google Scholar