The Classification of the Finite Simple Groups, Number 3

Released on by Daniel Gorenstein
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  • The Classification of the Finite Simple Groups, Number 3 Book Detail

  • Author : Daniel Gorenstein
  • Release Date : 1994
  • Publisher : American Mathematical Soc.
  • Genre : Finite simple groups
  • Pages : 446
  • ISBN 13 : 9780821803912
  • File Size : 65,65 MB
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The Classification of the Finite Simple Groups, Number 3 by Daniel Gorenstein PDF Summary

Book Description: Examines the internal structure of the finite simple groups of Lie type, the finite alternating groups, and 26 sporadic finite simple groups, as well as their analogues. Emphasis is on the structure of local subgroups and their relationships with one another, rather than development of an abstract theory of simple groups. A foundation is laid for the development of specific properties of K-groups to be used in the inductive proof of the classification theorem. Highlights include statements and proofs of the Breol-Tits and Curtis-Tits theorems, and material on centralizers of semisimple involutions in groups of Lie type. For graduate students and research mathematicians. Annotation copyrighted by Book News, Inc., Portland, OR

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