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Lie properties of symmetric elements in group rings |
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| Authors: | A. Giambruno C. Polcino Milies Sudarshan K. Sehgal |
| Affiliation: | 1. Dipartimento di Matematica, Università di Palermo, Via Archirafi 34, 90123 Palermo, Italy;2. Instituto de Matemática e Estatística, Universidade de São Paulo, Caixa Postal 66281, CEP-05315-970, São Paulo, Brazil;3. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada T6G 2G1 |
| Abstract: | Let 1 be an involution of a group G extended linearly to the group algebra KG. We prove that if G contains no 2-elements and K is a field of characteristic , then the 1-symmetric elements of KG are Lie nilpotent (Lie n-Engel) if and only if KG is Lie nilpotent (Lie n-Engel). |
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