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.
Format: eBook
Language:English
Published: London Springer London 2010, 2010
Edition:1st ed. 2010
Series:Algebra and Applications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Group Identities on Units of Group Rings
  • Group Identities on Symmetric Units
  • Lie Identities on Symmetric Elements
  • Nilpotence of and