The classification revolutionized finite group theory, solving longstanding problems and conjectures.

Many of the results of finite group representation theory are proved by averaging over the group.

He is known for Abhyankar's conjecture of finite group theory.

In mathematical finite group theory, the L-balance theorem was proved by .

Jordan's theorem is a statement in finite group theory.

The question was reduced to a piece of finite group theory by Emil Artin.

Signed complete graphs are equivalent to two-graphs, which are of value in finite group theory.

Interactions with finite group theory, particularly progress in the study of subgroup growth.

As of 2012, the Lyons group appears to have no applications outside finite group theory.

They also arise in the applications of finite group theory to geometry and crystallography.