Dihedral-product groups of nonabelian simple groups
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.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2024
- DOI:
- 10.48550/arXiv.2404.15145
- arXiv:
- arXiv:2404.15145
- Bibcode:
- 2024arXiv240415145Y
- Keywords:
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- Mathematics - Combinatorics;
- Mathematics - Group Theory