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OverviewThe theory of finite simple groups enjoyed a period of spectacular activity in the 1950s and 1960s. The first edition of Gorenstein's book was published in 1968, at the time of some of the first major classification results. The second edition was published in 1980, when it was clear that the classification was understood and the proof was within reach. Gorenstein's treatment of the subject proved prescient, as many of the developments between the two editions could be seen as continuations of the material in the book. Even now, the book remains one of the best sources for an introduction to finite groups and the classification of the simple groups. Gorenstein's insight provides a guiding light through the many pages that have been dedicated to the proof. Full Product DetailsAuthor: Daniel GorensteinPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 301 Dimensions: Width: 15.90cm , Height: 3.10cm , Length: 23.30cm Weight: 0.859kg ISBN: 9780821843420ISBN 10: 0821843427 Pages: 519 Publication Date: 30 July 2007 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsPart I: Methods: Preliminaries Some basic topics Representations of groups Character theory Groups of prime power order Solvable and $\pi$-solvable groups Fusion, transfer, and $p$-factor groups $p$-constrained and $p$-stable group Groups of even order Part II: Applications: Fixed-point-free automorphisms The Hall-Higman theorem Groups with generalized quaternion Sylow 2-subgroups Zassenhaus groups Groups in which centralizers are nilpotent Groups with self-centralizing Sylow 2-subgroups of order 4 Part III: General Classification Problems: Simple groups of low rank The knwon simple groups Bibliography List of symbols Index.Reviews... it is required reading for anyone who wishes to study the subject. Mathematical Reviews Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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