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Skew linear groups

M. Shirvani

1986253 pagesabout 4–6 hours
1986
first published
  • 1986Cambridge University Press · 253 pages · ENGISBN 9780521339254
  • 1987Cambridge University Press · ENGISBN 9781299404076
  • 2009Cambridge University Press · ENGISBN 9780511600630
  • 2011Cambridge University Press · ENGISBN 9780511892288

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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