Abstract
Abstract Let G be a group, F a field and FG the corresponding group algebra. We consider an involution on FG which is the linear extension of an involution of G, e.g., g * = g - 1 {g^{*}=g^{-1}} for g ∈ G {g\in G} . This paper is focused on the characterization of a non-torsion group G provided the group of units U ( F G ) {U(FG)} satisfies a * {*} -group identity. The torsion case was studied in [7], and when * {*} is the classical involution, this problem was solved in the case of symmetric units in [21].
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
