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The Finite Simple Groups / Edition 1
     

The Finite Simple Groups / Edition 1

by Robert Wilson, Christopher W. Parker, Kenneth A. Ribet
 

ISBN-10: 1848009879

ISBN-13: 9781848009875

Pub. Date: 12/14/2009

Publisher: Springer London

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

Overview

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].

Product Details

ISBN-13:
9781848009875
Publisher:
Springer London
Publication date:
12/14/2009
Series:
Graduate Texts in Mathematics Series , #251
Edition description:
2009
Pages:
298
Product dimensions:
6.40(w) x 9.30(h) x 1.10(d)

Related Subjects

Table of Contents

The alternating groups.- The classical groups.- The exceptional groups.- The sporadic groups.

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