Theory of Finite Simple Groups (New Mathematical Monographs)

the long version

"This book provides the first representation theoretic and algorithmic approach to the theory of abstract finite simple groups. Together with the cyclic groups of prime order the finite simple groups are the building blocks of all finite groups. The theory presented here is built on the intimate relations between general group theory, ordinary character theory, modular representation theory and algorithmic algebra. Each of these theories is developed in this book from scratch."--Jacket.