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Mathematics > Combinatorics
Title: Dihedral-product groups of nonabelian simple groups
(Submitted on 23 Apr 2024 (v1), last revised 26 Apr 2024 (this version, v2))
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 $G\cap D=1$ 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.
Submission history
From: Hao Yu [view email][v1] Tue, 23 Apr 2024 15:49:36 GMT (9kb)
[v2] Fri, 26 Apr 2024 13:04:32 GMT (11kb)
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