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An analogue of Maschke's theorem for certain representations of A6 over GF(2)

Published online by Cambridge University Press:  14 November 2011

Alan R. Prince
Alan R. Prince
Affiliation:
Department of Mathematics, Heriot-Watt University, Edinburgh, Scotland
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Synopsis

Certain representations of the alternating group of degree 6 over the field of 2 elements are shown to be completely reducible.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 91 , Issue 3-4 , 1982 , pp. 175 - 177
Copyright
Copyright © Royal Society of Edinburgh 1982

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References

1Higman, G.. Odd characterisations of finite simple groups, Lecture notes, University of Michigan, 1968.Google Scholar
2Martineau, R. P.. On 2-modular representations of the Suzuki groups. Amer. J. Math. 94 (1972), 55–72.Google Scholar
3Prince, A. R.. On 2-groups admitting A5 or A6 with an element of order 5 acting fixed point freely. J. Algebra 49 (1977), 374–386.Google Scholar