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Item Details
Title:
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THE FINITE SIMPLE GROUPS
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By: |
Sir Robert Wilson, Christopher W. Parker, Kenneth Ribet |
Format: |
Hardback |

List price:
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£29.99 |
We currently do not stock this item, please contact the publisher directly for
further information.
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ISBN 10: |
1848009879 |
ISBN 13: |
9781848009875 |
Publisher: |
SPRINGER LONDON LTD |
Pub. date: |
1 December, 2009 |
Series: |
Graduate Texts in Mathematics 251 |
Pages: |
298 |
Description: |
Here, a thorough grounding in the theory of alternating and classical groups is followed by discussion of exceptional groups (classed as automorphism groups of multilinear forms), sporadic and Chevalley groups, as well as the theory of Lie algebras. |
Synopsis: |
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]. |
Illustrations: |
XV, 298 p. |
Publication: |
UK |
Imprint: |
Springer London Ltd |
Returns: |
Returnable |
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