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Theory of Finite Simple Groups [With CDROM]
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Theory of Finite Simple Groups [With CDROM] Hardcover - 2006 - 1st Edition

by Gerhard O. Michler


From the publisher

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.

Details

  • Title Theory of Finite Simple Groups [With CDROM]
  • Author Gerhard O. Michler
  • Binding Hardcover
  • Edition number 1st
  • Edition 1
  • Pages 662
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press, Cambridge
  • Date October 30, 2006
  • Illustrated Yes
  • ISBN 9780521866255 / 0521866251
  • Weight 2.29 lbs (1.04 kg)
  • Dimensions 9.22 x 6.24 x 1.58 in (23.42 x 15.85 x 4.01 cm)
  • Library of Congress subjects Finite simple groups
  • Library of Congress Catalog Number 2006299916
  • Dewey Decimal Code 512.23
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Theory of Finite Simple Groups
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Theory of Finite Simple Groups

by Gerhard Michler

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[ Edition: Eight ]. Good Condition. [ No Hassle 30 Day Returns ][ Ships Daily ] [ Underlining/Highlighting: NONE ] [ Writing: NONE ] [ 1 CD/Disk(s) Included ] Publisher: Csmbridge University Press Pub Date: 1/1/2006 Binding: Hardcover Pages: 662
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Theory of Finite Simple Groups (New Mathematical Monographs)
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Theory of Finite Simple Groups (New Mathematical Monographs)

by Gerhard O. Michler

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Used - Good
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Hardcover
ISBN 10 / ISBN 13
9780521866255 / 0521866251
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Cambridge University Press, 2006-10-30. Hardcover. Good.
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