TY - JOUR

T1 - Group algebras with units satisfying a group identity

AU - Liu, Chia Hsin

N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

PY - 1999

Y1 - 1999

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33646987603&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646987603&partnerID=8YFLogxK

U2 - 10.1090/s0002-9939-99-04744-9

DO - 10.1090/s0002-9939-99-04744-9

M3 - Article

AN - SCOPUS:33646987603

VL - 127

SP - 327

EP - 336

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 2

ER -