Group algebras with units satisfying a group identity

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Abstract

Let K[G] be the group algebra of a group G over a field K, and let U(K[G]) be its group of units. A conjecture by Brian Hartley asserts that if G is a torsion group and U(K[G]) satisfies a group identity, then K[G] satisfies a polynomial identity. This was verified earlier in case K is an infinite field. Here we modify the original proof so that it handles fields of all sizes.

Original languageEnglish
Pages (from-to)327-336
Number of pages10
JournalProceedings of the American Mathematical Society
Volume127
Issue number2
Publication statusPublished - 1999 Dec 1

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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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