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Item Details
Title: 3-TRANSPOSITION GROUPS
By: Michael Aschbacher
Format: Paperback

List price: £37.99


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ISBN 10: 0521101026
ISBN 13: 9780521101028
Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 1 February, 2009
Series: Cambridge Tracts in Mathematics 124
Pages: 272
Description: Contains the first complete published proof of Fischer's Theorem on the classification of 3-transposition groups.
Synopsis: In 1970 Bernd Fischer proved his beautiful theorem classifying the almost simple groups generated by 3-transpositions, and in the process discovered three new sporadic groups, now known as the Fischer groups. Since then, the theory of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place. Fischer's result, while important and deep (covering a number of complex examples), can be understood by any student with some knowledge of elementary group theory and finite geometry. Thus Part I has minimal prerequisites and could be used as a text for an intermediate level graduate course. Parts II and III are aimed at specialists in finite groups and are a step in the author's program to supply a strong foundation for the theory of sporadic groups.
Illustrations: 3 b/w illus. 3 tables
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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