Group algebras with units

satisfying a group identity

Author:
Chia-Hsin Liu

Journal:
Proc. Amer. Math. Soc. **127** (1999), 327-336

MSC (1991):
Primary 16S34

MathSciNet review:
1487322

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Abstract | References | Similar Articles | Additional Information

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

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Additional Information

**Chia-Hsin Liu**

Affiliation:
Department of Mathematics, University of Wisconsin-Madison, Madison, Wisconsin 53706

Email:
chliu@math.wisc.edu

DOI:
https://doi.org/10.1090/S0002-9939-99-04744-9

Received by editor(s):
March 25, 1997

Received by editor(s) in revised form:
September 29, 1997

Communicated by:
Ken Goodearl

Article copyright:
© Copyright 1999
American Mathematical Society