Theory of Finite Simple Groups Mixed media product
by Gerhard O. Michler
Part of the New Mathematical Monographs series
Mixed media product
Description
This book provides the first representation theoretic and algorithmic approach to the theory of abstract finite simple groups.
It presents self-contained proofs of classical and new group order formulas, and a new structure theorem for abstract finite simple groups.
This, and the famous Brauer-Fowler theorem, provides the theoretical background for the author's algorithm which constructs all finite simple groups G having a 2-central involution z with a given centralizer CG(z)=H.
The methods presented are designed for the construction of matrix representations, permutation representations and character tables of large finite groups.
The author constructs all the simple satellites of the known simple groups that are not uniquely determined by a given centralizer H.
Uniform existence and uniqueness proofs are given for the modern sporadic simple groups discovered by Janko, Higman and Sims, Harada, and Thompson.
This latter result proves a long standing open problem in the theory.
The experimental results (courtesy of M. Weller) for Chapter 12 are documented in the accompanying DVD.
Information
-
Item not Available
- Format:Mixed media product
- Pages:614 pages, 200 tables
- Publisher:Cambridge University Press
- Publication Date:21/09/2006
- Category:
- ISBN:9780521866255
Information
-
Item not Available
- Format:Mixed media product
- Pages:614 pages, 200 tables
- Publisher:Cambridge University Press
- Publication Date:21/09/2006
- Category:
- ISBN:9780521866255
