Dihedral-product groups of nonabelian simple groups

2024/04/23 by Yu, Hao
#Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2404.15145

Abstract

Given a finite group G, a group X is called a dihedral-product group of G if X=GD where D is a finite dihedral group. In particular, it is called a dihedral-skew product group of G if G∩ D=1 and D has a trivial core in X. In this paper, dihedral-skew product groups of all nonabelian simple groups are classified and dihedral-product groups of all nonabelian simple groups are characterized.

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