The text begins with a review of group actions and Sylow theory. It includes semidirect products, the Schur–Zassenhaus theorem, the theory of commutators, cop

``We explore widely in the valley of ordinary representations, and we take the reader over the mountain pass leading to the valley of modular representations, t

It examines the theory of finite groups in a manner that is both accessible to the beginner and suitable for graduate research.

From reviews of the German edition: "This is an exciting text and a refreshing contribution to an area in which challenges continue to flourish and to captivate

Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2001. Subgroup growth studies the distribution of subgroups of finite index in a group as a functi