Group theory forms a cornerstone of modern algebra, providing a structured framework for analysing symmetries in mathematics, physics and beyond. A group is a set coupled with an operation that ...

Transactions of the American Mathematical Society, Vol. 364, No. 4 (APRIL 2012), pp. 1997-2019 (23 pages) Let G be a simple algebraic group over an algebraically closed field k of bad characteristic.

Let G be a finite group. We prove that if all noncentral primary and biprimary even real classes of G have prime sizes, then G has either a normal 2-complement or a normal Sylow 2-subgroup. Journal ...