Maximal Factorizations of the Finite Simple Groups and Their Automorphism Groups

Maximal Factorizations of the Finite Simple Groups and Their Automorphism Groups

Author
Martin W. Liebeck, Cheryl E. Praeger
Publisher
Amer Mathematical Society
Language
English
Year
1990
Page
151
ISBN
0821824945,9780821824948
File Type
djvu
File Size
1.3 MiB

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.

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