Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-12T22:18:10.256Z Has data issue: false hasContentIssue false

The modular characters of the Higman-Sims simple group

Published online by Cambridge University Press:  14 November 2011

J. F. Humphreys
Affiliation:
Department of Pure Mathematics, The University, Liverpool L69 3BX

Synopsis

In this article the Brauer characters of the irreducible p-modular representations of the Higman-Sims simple group of order 44352000 are determined when p is an odd prime.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1982

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Frame, J. S.. Computation of the characters of the Higman-Sims group and its automorphism group. J. Algebra 20 (1972), 320349.CrossRefGoogle Scholar
2Higman, D. G. and Sims, C. C.. A simple group of order 44, 352, 000. Math. Z. 105 (1968), 110113.CrossRefGoogle Scholar
3James, G. D.. The modular characters of the Mathieu groups. J. Algebra 27 (1973), 57111.CrossRefGoogle Scholar
4McKay, J.. The non-abelian simple groups G, ∣G∣>106 -character tables. Comm. Algebra 7 (1979), 14071445.CrossRefGoogle Scholar