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Sporadic Groups Cambridge Tracts 104 Aschbacher HB Signed 1994

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Item specifics

Condition
Like New: A book in excellent condition. Cover is shiny and undamaged, and the dust jacket is ...
Book Title
Sporadic Groups (Cambridge Tracts in Mathematics, Series Number 1
Features
Signed
Country/Region of Manufacture
United Kingdom
ISBN
9780521420495

About this product

Product Information

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.

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
0521420490
ISBN-13
9780521420495
eBay Product ID (ePID)
775455

Product Key Features

Number of Pages
332 Pages
Language
English
Publication Name
Sporadic Groups
Publication Year
1994
Subject
Group Theory, Algebra / General
Type
Textbook
Subject Area
Mathematics
Author
Michael Aschbacher
Series
Cambridge Tracts in Mathematics Ser.
Format
Hardcover

Dimensions

Item Height
0.9 in
Item Weight
23.4 Oz
Item Length
9 in
Item Width
6 in
Height
0.9in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
93-013653
Dewey Edition
20
Series Volume Number
Series Number 104
Illustrated
Yes
Dewey Decimal
512.2
Lc Classification Number
Qa177 .A83 1994
Table of Content
Preface; 1. Preliminary results; 2. 2-Structure in finite groups; 3. Algebras, codes and forms; 4. Symplectic 2-loops; 5. The discovery, existence, and uniqueness of the sporadics; 6. The Mathieu groups, their Steiner systems, and the Golay code; 7. The geometry and structure of M24; 8. The Conway groups and the Leech lattice; 9. Subgroups of .0; 10. The Griess algebra and the Monster; 11. Subgroups of groups of Monster type; 12. Coverings of graphs and simplicial complexes; 13. The geometry of amalgams; 14. The uniqueness of groups of type M24, He, and L5(2); 15. The groups U4(3); 16. Groups of Conway, Suzuki, and Hall-Janko type; 17. Subgroups of prime order in five sporadic groups; Tables; References; Index.

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