Brauer–Suzuki theorem

The Brauer–Suzuki theorem is a result in group theory, specifically in the area of representation theory and the theory of finite groups. Named after mathematicians Richard Brauer and Michio Suzuki, the theorem provides important conditions for the existence of certain types of groups and their representations. One of the most prominent statements of the Brauer–Suzuki theorem pertains to the structure of finite groups, characterizing when a certain kind of simple group can be singly generated by an element of specific order.