On element orders in covers of finite simple groups of Lie type

Abstract

By a proper cover of a finite group G we mean an extension of a nontrivial finite group by G. Our purpose is to show that a proper cover of a finite simple group L of Lie type always contains an element whose order differs from the element orders of L provided that the Lie rank of L is sufficiently large.

A new numeration of theorems and lemmas

Cited by in corpus (6)

• Finite groups isospectral to simple groups
• On the nilpotency of the solvable radical of a finite group isospectral to a simple group
• On recognition of symplectic and orthogonal groups of small dimensions by spectrum
• Almost recognizability by spectrum of simple exceptional groups of Lie type
• On the prime graph of a finite group with unique nonabelian composition factor
• On recognition of direct powers of finite simple linear groups by spectrum