Group Ring Groups.

Group Ring Groups. / Volume 1, : Orders and Generic Constructions of Units.

This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra. Since the book is add...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus eBook-Package 2016
VerfasserIn:
Jespers, Eric,
del Río, Ángel,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2015]
©2016
Year of Publication:2015
Language:English
Series:De Gruyter Textbook ; Volume 1
Online Access:
Physical Description:1 online resource (447 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • 1. Units in group rings: an introduction
  • 2. Representations of algebras
  • 3. Wedderburn decomposition of semisimple group algebras
  • 4. Dedekind domains, valuations and orders
  • 5. The group of units of an order
  • 6. Cyclotomic integers
  • 7. Central units
  • 8. Generic units
  • 9. K-theory
  • 10. General linear groups of degree 2
  • 11. Generators of the unit group of an integral group ring
  • 12. Exceptional simple components
  • 13. Idempotents and central units in group rings
  • References
  • Index of Notation
  • Index

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