3-Transposition Groups by Michael Aschbacher
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3-Transposition Groups
By Michael Aschbacher

3-Transposition Groups

By (author) See other recent books by Michael Aschbacher
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Format: Hardback

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3-Transposition Groups by Michael Aschbacher

Book Description

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of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place.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.

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Book Details

ISBN: 9780521571968
ISBN-10: 0521571960
Format: Hardback
(228mm x 152mm x 19mm)
Pages: 272
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 28-Nov-1996
Country of Publication: United Kingdom

Other Editions...


Books By Author Michael Aschbacher

Fusion Systems in Algebra and Topology by 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 by Michael Aschbacher 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 by Michael Aschbacher 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 by Michael Aschbacher Sporadic Groups, Paperback (March 2008)

The first self-contained treatment of the foundations of the theory of sporadic groups.

» View all books by Michael Aschbacher

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