Fusion systems of blocks with nontrivial strongly closed subgroups

2017/01/07 by Heguo Liu, Xingzhong Xu, Liu, Heguo +3
Mathematics · #20C20 #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1701.01817

openalex publication_date 2017/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we find some exotic fusion systems which have non-trivial strongly closed subgroups, and we prove these fusion systems are also not realizable by p-blocks of finite groups.

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