Non-Fiction Books:

Theory of Finite Simple Groups

Format

Mixed media product

Customer rating

Click to share your rating 0 ratings (0.0/5.0 average) Thanks for your vote!

Share this product

Theory of Finite Simple Groups by G. Michler
Unavailable
Sorry, this product is not currently available to order

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.

Table of Contents

Introduction; 1. Prerequisites from group theory; 2. Group representations and character theory; 3. Modular representation theory; 4. Group order formulas and structure theorem; 5. Permutation representations; 6. Concrete character tables of matrix groups; 7. Methods for constructing finite simple groups; 8. Finite simple groups with proper satellites; 9. Janko group J1; 10. Higman-Sims group HS; 11. Harada group Ha; 9. Thompson group Th; Bibliography; List of symbols; Index.

Author Biography

Gerhard Michler is an Emeritus Professor of the Institute of Experimental Mathematics at the Univerity of Duisburg-Essen
Release date NZ
September 21st, 2006
Author
Country of Publication
United Kingdom
Edition
New title
Illustrations
200 tables
Imprint
Cambridge University Press
Pages
614
Dimensions
161x235x40
ISBN-13
9780521866255
Product ID
1772474

Customer reviews

Nobody has reviewed this product yet. You could be the first!

Write a Review

Marketplace listings

There are no Marketplace listings available for this product currently.
Already own it? Create a free listing and pay just 9% commission when it sells!

Sell Yours Here

Help & options

  • If you think we've made a mistake or omitted details, please send us your feedback. Send Feedback
  • If you have a question or problem with this product, visit our Help section. Get Help
Filed under...