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.

Promotional Information

The first representation theoretic and algorithmic approach to the theory of abstract finite simple groups.

About the Author

Gerhard Michler is an Emeritus Professor of the Institute of Experimental Mathematics at the Univerity of Duisburg-Essen

Reviews

'The approach described and advocated by Michler in this book is remarkable in that it offers a uniform method that can, in principle, be used to prove computationally the existence and uniqueness of almost all the sporadic simple groups.' Bulletin of the American Mathematical Society