Group algebras with units satisfying a group identity

Chia Hsin Liu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

48 Citations (Scopus)


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
Issue number2
Publication statusPublished - 1999
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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