Call Boomerang Books 1300 36 33 32

Description - Sporadic Groups by Michael Aschbacher

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.

Buy Sporadic Groups by Michael Aschbacher from Australia's Online Independent Bookstore, Boomerang Books.

Book Details

ISBN: 9780521420495
ISBN-10: 0521420490
Format: Hardback
(228mm x 152mm x 22mm)
Pages: 332
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 25-Mar-1994
Country of Publication: United Kingdom

Other Editions - Sporadic Groups by Michael Aschbacher

Book Reviews - Sporadic Groups by Michael Aschbacher

» Have you read this book? We'd like to know what you think about it - write a review about Sporadic Groups book by Michael Aschbacher and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a Boomerang Books Account Holder - it's free to sign up and there are great benefits!)

Write Review


Books By Michael Aschbacher

Fusion Systems in Algebra and Topology by Michael Aschbacher
Paperback, August 2011
$94.50
3-Transposition Groups by Michael Aschbacher
Paperback, February 2009
$73.76
Sporadic Groups by Michael Aschbacher
Paperback, March 2008
$126.00