Groups with an abelian Sylow subgroup

Ballard, John W.

doi:10.1090/S0002-9939-1977-0460438-0

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Groups with an abelian Sylow subgroup
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by John W. Ballard PDF

Proc. Amer. Math. Soc. 67 (1977), 206-208 Request permission

Abstract:

The purpose of this note is to obtain a modular refinement of Brauer’s induction theorem for groups with an abelian Sylow subgroup.

References

Richard Brauer, Applications of induced characters, Amer. J. Math. 69 (1947), 709–716. MR 22851, DOI 10.2307/2371795
Larry Dornhoff, Group representation theory. Part A: Ordinary representation theory, Pure and Applied Mathematics, vol. 7, Marcel Dekker, Inc., New York, 1971. MR 0347959
J. A. Green, A transfer theorem for modular representations, J. Algebra 1 (1964), 73–84. MR 162843, DOI 10.1016/0021-8693(64)90009-2