The Maximal Factorizations of the Finite Simple Groups and Their Automorphism Groups

Front Cover
American Mathematical Soc., 1990 - Mathematics - 151 pages
Factorizations of finite groups as a product of two proper subgroups arise naturally in several areas of group theory, geometry, and applications. In this book, the authors determine all factorizations of the finite simple groups and their automorphism groups as a product of two maximal subgroups. The proof involved detailed study of the geometry of simple groups, and there is a substantial introductory section presenting this material.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Introduction
1
Preliminaries
17
Classical groups of large dimension factorizations as a product of two geometric subgroups
43
Classical groups of large dimension factorizations in which one of the factors is nongeometric
72
Classical groups of small dimension
90
Factorizations of alternating groups
123
Factorizations of exceptional groups of Lie type
126
On maximal subgroups of symmetric and alternating groups
130
Lower bounds for dimensions of representations of sporadic groups
137
Uniqueness of certain representations of Suz and Cosub1
141
Orbit decomposition of Bsub4q on a spin module
144
References
146
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information