Group algebras whith symmetric units satisfying a group identity
- Authors: SEHGAL S K; VALENTI A
- Publication year: 2006
- Type: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/27718
Abstract
We study group algebras FG for which the symmetric units under the natural involution: g∗ = g−1 satisfy a group identity. For infinite fields F of characteristic ≠2, a classification of torsion groups G whose symmetric units) satisfy a group identity was given by Giambruno-Sehgal-Valenti. We extend this work to non torsion groups.