3-transposition groups
Michael Aschbacher
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of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place.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. Part I of this book 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.
Categories:
Year:
1997
Publisher:
Cambridge University Press
Language:
english
Pages:
266
ISBN 10:
0521571960
ISBN 13:
9780521571968
Series:
Cambridge tracts in mathematics 124
File:
DJVU, 2.56 MB
IPFS:
,
english, 1997