Memoirs of the American Mathematical Society 1983; 731 pp; softcover Volume: 42 ISBN10: 0821822764 ISBN13: 9780821822760 List Price: US$88 Individual Members: US$52.80 Institutional Members: US$70.40 Order Code: MEMO/42/276
 In this Memoir, Gorenstein and Lyons study the generic finite simple group of characteristic 2 type whose proper subgroups are of known type. Their principal result (the Trichotomy Theorem) asserts that such a group has one of three precisely determined internal structures. (Simple groups with these structures have been classified by several authors.) The proof is completely localtheoretic and, in particular, depends crucially on signalizer functor theory. It also depends on a large number of properties of the known finite simple groups. The development of some of these properties is a contribution to the general theory of the known groups. Table of Contents Part I: Properties of \(K\)groups and Preliminary Lemmas  Introduction
 Decorations of the known simple groups
 Local subgroups of the known simple groups
 Balance and signalizers
 Generational properties of \(K\)groups
 Factorizations
 Miscellaneous general results and lemmas about \(K\)groups
 Appendix by N. Burgoyne
Part II: The Trichotomy Theorem  Odd standard form
 Signalizer functors and weak proper \(2\)generated \(p\)cores
 Almost strongly \(p\)embedded maximal \(2\)local subgroups
 References
