"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 buil…
With the classification of the finite simple groups complete, much work has gone into the study of maximal subgroups of almost simple groups. In this volume the authors investigate the maximal subgroups of the finite classical groups and present research into these groups as wel…
The main result describes completely the maximal factorizations of all the finite simple groups and their automorphism groups. As a consequence, a classification of the maximal subgroups of the finite alternating and symmetric groups is obtained.