The local structure of finite groups of characteristic 2 type
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Bibliographic Information
The local structure of finite groups of characteristic 2 type
（Memoirs of the American Mathematical Society, no. 276）
American Mathematical Society, 1983
- pbk.
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Note
Bibliography: p. 723-731
Description and Table of Contents
Description
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 local-theoretic 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.
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