Groups in which the centralizer of any non-central primary element is maximal

Abstract: In this talk, we investigate the structure of a finite group $G$ whose centralizer of each primary element is maximal in $G$. This is a question raised by Zhao, Chen and Guo in "Zhao, Xianhe; Chen, Ruifang; Guo, Xiuyun Groups in which the centralizer of any non-central element is maximal. J. Group Theory 23 (2020), no. 5, 871–878".

In this talk, we also provide an independent result focused on the centralizers of primary elements in finite simple groups.

group theory

Audience: researchers in the topic

Finite Groups in Valencia

Series comments: The seminar meets weekly from February 26th to March 30th 2021.

For a detailed schedule and registration details, please visit the seminar webpage at

sites.google.com/view/finite-groups-seminar2021