A classification of the finite non-solvable minimal non-CA-groups

2019/12/17 by Leyli Jafari, L. Jafari, Jafari, L. +6
Engineering · Mathematics · #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings, Modules, and Algebras #graph theory and CDMA systems #math.GR

paper · pdf · doi:10.48550/arxiv.1912.08185

arxiv created 2019/12/17 · openalex publication_date 2019/12/17 · arxiv updated 2019/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A group is called a CA-group if the centralizer of every non-central element is abelian. Furthermore, a group is called a minimal non-CA-group if it is not a CA-group itself, but all of its proper subgroups are. In this paper, we give a classification of the finite non-solvable minimal non-CA-groups.

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