On solubility of groups with finitely many centralizers

Year 2022, , 241 - 245, 16.07.2022

Igor Lıma Caio Rodrıgues

https://doi.org/10.24330/ieja.1144159

Abstract

In this paper we present a new sufficient condition for a solubility criterion in terms of centralizers of elements. This result is a corrigendum of one of Zarrin's results. Furthermore, we extend some of K. Khoramshahi and M. Zarrin's results in the primitive case.

Keywords

Centralizer, $n$-centralizer group, simple group

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