GROUP-ALGEBRAS WHOSE UNITS SATISFY A GROUP IDENTITY

Authors
GIAMBRUNO A SEHGAL S VALENTI A
Citation
A. Giambruno et al., GROUP-ALGEBRAS WHOSE UNITS SATISFY A GROUP IDENTITY, Proceedings of the American Mathematical Society, 125(3), 1997, pp. 629-634
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
3
Year of publication
1997
Pages
629 - 634
Database
ISI
SICI code
0002-9939(1997)125:3<629:GWUSAG>2.0.ZU;2-3
Abstract
Let FG be the group algebra of a torsion group over an infinite field F. Let U be the group of units of FG. We prove that if U satisfies a g roup identity, then FG satisfies a polynomial identity. This confirms a conjecture of Brian Hartley.