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On Thompson’s Conjecture for Finite Simple Exceptional Groups of Lie Type

Authors :
A. A. Shlepkin
Ilya Gorshkov
Ivan Kaygorodov
Andrei Kukharev
Source :
Journal of Mathematical Sciences. 247:565-570
Publication Year :
2020
Publisher :
Springer Science and Business Media LLC, 2020.

Abstract

Let $G$ be a finite group, $N(G)$ be the set of conjugacy classes of the group $G$. In the present paper it is proved $G\simeq L$ if $N(G)=N(L)$, where $G$ is a finite group with trivial center and $L$ is a finite simple group of exceptional Lie type or Tits group.

Details

ISSN :
15738795 and 10723374
Volume :
247
Database :
OpenAIRE
Journal :
Journal of Mathematical Sciences
Accession number :
edsair.doi.dedup.....f979f5bf83f68e9d43633eab34406a13
Full Text :
https://doi.org/10.1007/s10958-020-04820-2