Finite groups isospectral to simple groups

Abstract

The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectrum, in particular, to list all finite simple groups for which the recognition problem is solved.

Numbering of theorems, lemmas and other assertions has been changed to match that of the version published in Commun. Math. Stat

References in corpus (3)

• On finite groups isospectral to simple classical groups
• On the prime graph of a finite group with unique nonabelian composition factor
• On element orders in covers of $L_4(q)$ and $U_4(q)$

Cited by in corpus (3)

• Criterion of nonsolvability of a finite group and recognition of direct squares of simple groups
• On recognition of the direct squares of the simple groups with abelian Sylow 2-subgroups
• On recognition of direct powers of finite simple linear groups by spectrum