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3-Transposition Groups by Michael Aschbacher
Book DescriptionIn 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of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place.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.
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Book DetailsISBN: 9780521571968
(228mm x 152mm x 19mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 28-Nov-1996
Country of Publication: United Kingdom
Books By Author Michael Aschbacher
Fusion Systems in Algebra and Topology, Paperback (August 2011)
This book combines a detailed exposition of the basics of fusion systems with a survey of the current state of the field.
3-transposition Groups, Paperback (February 2009)
Contains the first complete published proof of Fischer's Theorem on the classification of 3-transposition groups.
Proceedings of the Rutgers Group Theory Year, 1983 -1984, Paperback (December 2008)
In this symposium volume twenty-nine key figures in the classification programme analyse the likely directions research will take in the future.
Sporadic Groups, Paperback (March 2008)» View all books by Michael Aschbacher
The first self-contained treatment of the foundations of the theory of sporadic groups.
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