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Finite Group Theory 0821868845
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Book Description Orient Longman, 2011. pbk. The text begins with a review of group actions and Sylow theory It includes semidirect products the Schur-Zassenhaus theorem the theory of commutators coprime actions on groups transfer theory Frobenius groups primitive and multiply transitive permutation groups the simplicity of the PSL groups the generalized Fitting subgroup and also Thompsons J-subgroup and his normal complement theoremTopics that seldom or never appear in books are also covered These include subnormality theory a group-theoretic proof of Burnsides theorem about groups with order divisible by just two primes the Wielandt automorphism tower theorem Yoshidas transfer theorem the principal ideal theorem of transfer theory and many smaller results that are not very well knownProofs often contain original ideas and they are given in complete detail In many cases they are simpler than can be found elsewhere The book is largely based on the authors lectures and consequently the style is friendly and somewhat informal Finally the book includes a large collection of problems at disparate levels of difficulty These should enable students to practice group theory and not just read about it 364 pp. Seller Inventory # 96363