I. B. Gorshkov, I. B. Kaygorodov, A. V. Kukharev, A. A. Shlepkin, “On Thompson's conjecture for finite simple exceptional groups of Lie type”, Zap. Nauchn. Sem. POMI, 2019, Volume 478,Pages <nobr>100

On Thompson's conjecture for finite simple exceptional groups of Lie type

I. B. Gorshkov^a, I. B. Kaygorodov^b, A. V. Kukharev^c, A. A. Shlepkin^d

^a Sobolev Institute of Mathematics, Novosibirsk, Russia
^b Universidade Federal do ABC, Santo Andre, Brazil
^c Vitebsk State University, Vitebsk, Belarus
^d Siberian Federal University, Krasnoyarsk, Russia

Abstract: Let $G$ be a finite group and $N(G)$ be its set of conjugacy class sizes. 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.

Key words and phrases: finite group, simple group, exceptional group of Lie type, conjugacy classes, Thompson conjecture.

UDC: 512.542.6

Received: 05.02.2019

Language: English