Proceedings of the American Mathematical Society

Author(s): Antonio Giambruno; Sudarshan Sehgal; Angela Valenti
Journal: Proc. Amer. Math. Soc. 125 (1997), 629-634.
MSC (1991): Primary 16S34; Secondary 20C05
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Abstract: Let $FG$

be the group algebra of a torsion group over an infinite field $F$

. Let

be the group of units of $FG$

. We prove that if $U$

satisfies a group identity, then $FG$

satisfies a polynomial identity. This confirms a conjecture of Brian Hartley.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 16S34, 20C05

Antonio Giambruno
Affiliation: Dipartimento di Matematica, Universitá di Palermo, via Archirafi 34, 90123 Palermo, Italy
Email: giambruno@ipamat.math.unipa.it, avalenti@ipamat.math.unipa.it

Sudarshan Sehgal
Affiliation: Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
Email: ssehgal@schur.math.ualberta.ca

Angela Valenti
Affiliation: Dipartimento di Matematica, Universitá di Palermo, via Archirafi 34, 90123 Palermo, Italy

DOI: 10.1090/S0002-9939-97-03581-8
PII: S 0002-9939(97)03581-8
Received by editor(s): June 26, 1995
Additional Notes: Research supported by NR and MURST of Italy and NSERC of Canada.
Communicated by: Ronald M. Solomon
Copyright of article: Copyright 1997, American Mathematical Society

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