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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by Gerhard O. Michler

Proc. Amer. Math. Soc. 37 (1973), 47-49

DOI: https://doi.org/10.1090/S0002-9939-1973-0310048-7

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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

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