On the structure of finite groups associated to regular non-centralizer graphs

The non-centralizer graph of a finite group $ G $ is the simple graph $ \Upsilon_G $ whose vertices are the elements of $ G $ with two vertices are adjacent if their centralizers are distinct. The induced non-centralizer graph of $ G $ is the induced subgraph of $ \Upsilon_G $ on $ G\setminus Z(G) $...

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Bibliographic Details
Main Authors: Tariq A. Alraqad, Hicham Saber
Format: Article
Language:English
Published: AIMS Press 2023-11-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231585?viewType=HTML