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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



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: 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.

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Additional Information

Chia-Hsin Liu
Affiliation: Department of Mathematics, University of Wisconsin-Madison, Madison, Wisconsin 53706

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