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 ...

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 ...

A closed expression for the number of unipotent conjugacy classes of a classical group G is given and Alperin's weight conjecture is confirmed for G globally and for a symplectic or odd-dimensional ...