Group Identities on Units and Symmetric Units of Group Rings

Let FG be the group ring of a group G over a field F. Write U(FG) for the group of units of FG. It is an important problem to determine the conditions under which U(FG) satisfies a group identity. In the mid 1990s, a conjecture of Hartley was verified, namely, if U(FG) satisfies a group identity, an...

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Bibliographic Details
Main Author: Lee, Gregory T. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: London : Springer London, 2010.
Series:Algebra and Applications ; 12
Subjects:
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Group Identities on Units of Group Rings
  • Group Identities on Symmetric Units
  • Lie Identities on Symmetric Elements
  • Nilpotence of and.