A new characterization of Janko simple groups

In this paper, we studied the influence of centralizers on the structure of groups, and demonstrated that Janko simple groups can be uniquely determined by two crucial quantitative properties: its even-order components of the group and the set $ \pi_{p_m}(G) $. Here, $ G $ represents a finite group,...

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Bibliographic Details
Main Authors: Zhangjia Han, Jiang Hu, Dongyang He
Format: Article
Language:English
Published: AIMS Press 2024-03-01
Series:AIMS Mathematics
Subjects:
Online Access:https://aimspress.com/article/doi/10.3934/math.2024468?viewType=HTML