This article is cited in 1 paper

Generating triples of conjugate involutions for finite simple groups

M. A. Vsemirnov^a, Ya. N. Nuzhin<sup>b

a</sup> St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
^b Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk

Abstract: It is proved that among finite simple non-Abelian groups, only the groups $U_3(3)$ and $A_8$ are not generated by three conjugate involutions. This result is obtained modulo a known conjecture on the description of finite simple groups generated by two elements of orders 2 and 3.

Keywords: finite simple group, generating triples of conjugate involutions, characters of a group.

UDC: 512.54

Received: 02.03.2023
Revised: 28.08.2024

DOI: 10.33048/alglog.2023.62.501

 English version: Algebra and Logic, 2023, 62:5, 379–397