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Theory of Finite Simple Groups (New Mathematical Monographs)

Home > Mathematics Books > Group Theory > Item 158

	Theory of Finite Simple Groups (New Mathematical Monographs)
	by Gerhard O. Michler Sales Rank: 2081797	List Price: ~~$155.00~~ $166.00 At Amazon on 12-6-2008

Hardcover: 614 pages Publisher: Cambridge University Press; 1 edition October 30, 2006 Language: English ISBN-10: 0521866251 ISBN-13: 978-0521866255 Product Dimensions: 9 x 6.2 x 1.6 inches Shipping Weight: 2.3 pounds *Product Description* This book provides the first representation theoretic and algorithmic approach to the theory of abstract finite simple groups. It presents self-contained proofs of classical and new group order formulas, and a new structure theorem for abstract finite simple groups. This, and the famous Brauer-Fowler theorem, provides the theoretical background for the author's algorithm which constructs all finite simple groups G having a 2-central involution z with a given centralizer CG(z)=H. The methods presented are designed for the construction of matrix representations, permutation representations and character tables of large finite groups. The author constructs all the simple satellites of the known simple groups that are not uniquely determined by a given centralizer H. Uniform existence and uniqueness proofs are given for the modern sporadic simple groups discovered by Janko, Higman and Sims, Harada, and Thompson. This latter result proves a long standing open problem in the theory. The experimental results (courtesy of M. Weller) for Chapter 12 are documented in the accompanying DVD. *Book Description* This book provides the first representation theoretic and algorithmic approach to the theory of abstract finite simple groups. Concrete applications are demonstrated in the construction of the simple satellites of the known simple groups which are not uniquely determined by a given centralizer.
Theory of Finite Simple Groups (New Mathematical Monographs) Available from Amazon Price: $166.00 Updated on 12-6-2008

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