The Finite Simple Groups

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  • The Finite Simple Groups Book Detail

  • Author : Robert Wilson
  • Release Date : 2009-12-14
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 310
  • ISBN 13 : 1848009879
  • File Size : 11,11 MB

The Finite Simple Groups by Robert Wilson PDF Summary

Book Description: Thisbookisintendedasanintroductiontoallthe?nitesimplegroups.During themonumentalstruggletoclassifythe?nitesimplegroups(andindeedsince), a huge amount of information about these groups has been accumulated. Conveyingthisinformationtothenextgenerationofstudentsandresearchers, not to mention those who might wish to apply this knowledge, has become a major challenge. With the publication of the two volumes by Aschbacher and Smith [12, 13] in 2004 we can reasonably regard the proof of the Classi?cation Theorem for Finite Simple Groups (usually abbreviated CFSG) as complete. Thus it is timely to attempt an overview of all the (non-abelian) ?nite simple groups in one volume. For expository purposes it is convenient to divide them into four basic types, namely the alternating, classical, exceptional and sporadic groups. The study of alternating groups soon develops into the theory of per- tation groups, which is well served by the classic text of Wielandt [170]and more modern treatments such as the comprehensive introduction by Dixon and Mortimer [53] and more specialised texts such as that of Cameron [19].

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The Finite Simple Groups

The Finite Simple Groups

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Thisbookisintendedasanintroductiontoallthe?nitesimplegroups.During themonumentalstruggletoclassifythe?nitesimplegroups(andindeedsince), a huge amount of informa

Finite Simple Groups

Finite Simple Groups

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In February 1981, the classification of the finite simple groups (Dl)* was completed,t. * representing one of the most remarkable achievements in the history or

The Classification of Finite Simple Groups

The Classification of Finite Simple Groups

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Provides an outline and modern overview of the classification of the finite simple groups. It primarily covers the 'even case', where the main groups arising ar