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arXiv:1611.02486 [math.RT]AbstractReferencesReviewsResources

On a perfect isometry between principal $p$-blocks of finite groups with cyclic $p$-hyperfocal subgroups

Hiroshi Horimoto, Atumi Watanabe

Published 2016-11-08Version 1

Let $G$ be a finite group with a Sylow $p$-subgroup $P$. We prove that the principal $p$-blocks of $G$ and $N_G(P)$ are perfectly isometric under the assumption $G$ has a cyclic $p$-hyperfocal subgroup.

Categories: math.RT, math.GR
Subjects: 20C20
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