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Presents contemporary character theory of finite groups from the basics to the state of the art, with new, refined proofs.

The McKay conjecture is the origin of the counting conjectures in the representation theory of finite groups. This book gives a comprehensive introduction to th

A comprehensive guide to the vast literature and range of results around Lusztig's character theory of finite groups of Lie type.

Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fiel

This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in differ