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arXiv · 1611.02486

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

Hiroshi Horimoto·Atumi Watanabe
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Abstract

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.

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Hiroshi Horimoto, Atumi Watanabe. 2016-11-08. On a perfect isometry between principal $p$-blocks of finite groups with cyclic $p$-hyperfocal subgroups. https://arxiv.org/abs/1611.02486

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