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Nilpotency of group ring units symmetric with respect to an involution |
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| Authors: | Gregory T Lee Sudarshan K Sehgal |
| Institution: | a Department of Mathematical Sciences, Lakehead University, Thunder Bay, Ontario P7B 5E1, Canada b Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada c Dipartimento di Matematica “E. De Giorgi”, Università del Salento, Via Provinciale Lecce-Arnesano 73100-LECCE, Italy |
| Abstract: | Let F be an infinite field of characteristic different from 2. Let G be a torsion group having an involution ∗, and consider the units of the group ring FG that are symmetric with respect to the induced involution. We classify the groups G such that these symmetric units satisfy a nilpotency identity (x1,…,xn)=1. |
| Keywords: | 16S34 16U60 16W10 |
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