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

2016/11/08 by Hiroshi Horimoto, Horimoto, Hiroshi, Atumi Watanabe +1
Mathematics · #20C20 #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1611.02486

openalex publication_date 2016/11/08 · openalex created_date 2016/11/30 · openalex updated_date 2026/07/28

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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