3-TRANSPOSITION GROUPS by Michael Aschbacher ( 9780521101028 )

Item Details

Title:

3-TRANSPOSITION GROUPS

By:

Michael Aschbacher

Format:

Paperback

List price:

£37.99

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£33.24

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12.5% off

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£4.75

ISBN 10:

0521101026

ISBN 13:

9780521101028

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of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place.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

Imprint:

Cambridge University Press

Returns:

Returnable

Some other items by this author:

3-TRANSPOSITION GROUPS

3-TRANSPOSITION GROUPS (HB)

FINITE GROUP THEORY (HB)

FINITE GROUP THEORY (PB)