The finite simple groups /
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Author / Creator: | Wilson, Robert, 1958- |
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Imprint: | London ; New York : Springer, c2009. |
Description: | 1 online resource (xv, 298 p.) : ill. |
Language: | English |
Series: | Graduate texts in mathematics, 0072-5285 ; 251 Graduate texts in mathematics ; 251. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/8891347 |
Summary: | 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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Physical Description: | 1 online resource (xv, 298 p.) : ill. |
Bibliography: | Includes bibliographical references (p. [283]-290) and index. |
ISBN: | 9781848009882 (e-isbn) 1848009887 (e-isbn) 9781848009875 1848009879 |
ISSN: | 0072-5285 ; |