3-Transposition Groups

3-Transposition Groups

EnglishHardbackPrint on demand
Aschbacher Michael
Cambridge University Press
EAN: 9780521571968
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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of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place.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.
EAN 9780521571968
ISBN 0521571960
Binding Hardback
Publisher Cambridge University Press
Publication date November 28, 1996
Pages 272
Language English
Dimensions 236 x 160 x 25
Country United Kingdom
Authors Aschbacher Michael
Illustrations 3 Tables, unspecified; 3 Line drawings, unspecified
Series Cambridge Tracts in Mathematics