Algebra

Sporadic Groups

Name: Sporadic Groups
Brand: Cambridge University Press
SKU: 9780521420495
Price: 15262.00 INR
Availability: InStock
ISBN: 9780521420495

SPORADIC GROUPS

Contributor(s): Aschbacher, Michael Author , Bollobas, Bela Editor , Fulton, W. Editor Format: Hardback

Hardback · ISBN 9780521420495

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Key Specifications

ISBN	9780521420495
Subtitle	SPORADIC GROUPS
Publisher	Cambridge University Press
Publication date	December 1994
Language	English
MRP	£121.00 GBP
Page count	332
Item weight	145 g

Sporadic Groups provides for the first time a self-contained treatment of the foundations of the theory of sporadic groups accessible to mathematicians with a basic background in finite groups, such as in the author's text Finite Group Theory. Introductory material useful for studying the sporadics, such as a discussion of large extraspecial 2-subgroups and Tits' coset geometries, opens the book. A construction of the Mathieu groups as the automorphism groups of Steiner systems follows. The Golay and Todd modules and the 2-local geometry for M24 are discussed. This is followed by the standard construction of Conway of the Leech lattice and the Conway group. The Monster is constructed as the automorphism group of the Griess algebra using some of the best features of the approaches of Griess, Conway, and Tits plus a few new wrinkles. The existence treatment finishes with an application of the theory of large extraspecial subgroups to produce the twenty sporadics involved in the Monster. The Aschbacher-Segev approach addresses the uniqueness of the sporadics via coverings of graphs and simplicial complexes. The basics of this approach are developed and used to establish the uniqueness of five of the sporadics.

Sporadic Groups

Key Specifications

Aschbacher, Michael Author

Bollobas, Bela Editor

Fulton, W. Editor

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