Abstract
Let G be a group and let F be a field of characteristic different from 2. Denote by (FG)+ the set of symmetric elements and by U +(FG) the set of symmetric units of the group algebra FG, with respect to the canonical involution on FG sending each group element to its inverse. In this article, we give some lower and upper bounds on the Lie nilpotency index of (FG)+ and the nilpotency class of U +(FG); furthermore, we classify the groups for which these bounds are achieved.
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.
