Some remarks on Brauer’s third main theorem

Juhász, Arye

doi:10.1090/S0002-9939-1982-0671195-9

Some remarks on Brauer’s third main theorem
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Proc. Amer. Math. Soc. 86 (1982), 363-369 Request permission

Abstract:

We consider two classes of $p$-blocks of a finite group $G$ which have the property that for every block $B$ of them and every subgroup $H$ of $G$, $H$ has only a small number of admissible blocks $b$ with ${b^G} = B$. In this they are similar to the principal block of $G$. These blocks are described by means of certain modules they contain.

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