Skew Linear Groups

M. Shirvani; B. A. F. Wehrfritz

doi:10.1017/CBO9780511600630

This book is concerned with subgroups of groups of the form GL(n,D) for some division ring D. In it the authors bring together many of the advances in the theory of skew linear groups. Some aspects of skew linear groups are similar to those for linear groups, however there are often significant differences either in the method of proof or the results themselves. Topics covered in this volume include irreducibility, unipotence, locally finite-dimensional division algebras, and division algebras associated with polycyclic groups. Both authors are experts in this area of current interest in group theory, and algebraists and research students will find this an accessible account of the subject.

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Skew Linear Groups

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

FOREWORD
pp vii-x

1 - BASIC CONCEPTS
pp 1-43

2 - FINITE AND LOCALLY FINITE GROUPS
pp 44-79

3 - LOCALLY FINITE-DIMENSIONAL DIVISION ALGEBRAS
pp 80-121

4 - DIVISION RINGS ASSOCIATED WITH POLYCYCLIC GROUPS
pp 122-165

5 - NORMAL SUBGROUPS OF ABSOLUTELY IRREDUCIBLE GROUPS
pp 166-218

6 - AN APPLICATION TO GROUP RINGS
pp 219-226

BIBLIOGRAPHY
pp 227-236

NOTATION INDEX
pp 237-245

AUTHOR INDEX
pp 246-248

GENERAL INDEX
pp 249-253

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