Group algebras with units satisfying a group identity
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- by Chia-Hsin Liu PDF
- Proc. Amer. Math. Soc. 127 (1999), 327-336 Request permission
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.References
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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
- Received by editor(s): March 25, 1997
- Received by editor(s) in revised form: September 29, 1997
- Communicated by: Ken Goodearl
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 327-336
- MSC (1991): Primary 16S34
- DOI: https://doi.org/10.1090/S0002-9939-99-04744-9
- MathSciNet review: 1487322