The kernel of a block of a group algebra

Michler, Gerhard O.

doi:10.1090/S0002-9939-1973-0310048-7

The kernel of a block of a group algebra
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Proc. Amer. Math. Soc. 37 (1973), 47-49 Request permission

Abstract:

Avoiding the theory of characters of finite groups and group algebras over fields of characteristic zero a ring theoretical proof is given for R. Brauer’s theorem which asserts that the (modular) kernel of a block of a group algebra FG of a finite group over a field F of characteristic $p > 0$ is a p-nilpotent normal subgroup of G.

References

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Modulare Darstellungstheorie endlicher Gruppen

G. O. Michler, Blocks and centers of group algebras, Lectures on rings and modules (Tulane Univ. Ring and Operator Theory Year, 1970–1971, Vol. I), Lecture Notes in Math., Vol. 246, Springer, Berlin, 1972, pp. 429–563. MR 0332949
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