On orders of elements of finite almost simple groups with linear or unitary socle

Abstract

We say that a finite almost simple $G$ with socle $S$ is admissible (with respect to the spectrum) if $G$ and $S$ have the same sets of orders of elements. Let $L$ be a finite simple linear or unitary group of dimension at least three over a field of odd characteristic. We describe admissible almost simple groups with socle $L$. Also we calculate the orders of elements of the coset $L\tau$, where $\tau$ is the inverse-transpose automorphism of $L$.

References in corpus (2)

• On finite groups isospectral to simple classical groups
• On the structure of finite groups isospectral to finite simple groups

Cited by in corpus (2)

• Finite groups isospectral to simple groups
• The spectra of almost simple groups with socle $E_7(q)$