Group algebras with units satisfying a group identity

研究成果: 雜誌貢獻期刊論文同行評審

38 引文 斯高帕斯(Scopus)

摘要

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.

原文英語
頁(從 - 到)327-336
頁數10
期刊Proceedings of the American Mathematical Society
127
發行號2
DOIs
出版狀態已發佈 - 1999

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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