Lie nilpotency indices of symmetric elements under oriented involutions in group algebras
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https://doi.org/10.11606/issn.2316-9028.v7i1p69-81Resumo
Let G be a group and let F be a eld of characteristic dierent from 2. Denote by (FG)+ the set of symmetric elements and by U+(FG) the set of symmetric units, under an oriented classical involution of the group algebra FG. We give some lower and upper bounds on the Lie nilpotency index of (FG)+ and the nilpotency class of U+(FG).Downloads
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2013-06-30
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Lie nilpotency indices of symmetric elements under oriented involutions in group algebras. (2013). São Paulo Journal of Mathematical Sciences, 7(1), 69-81. https://doi.org/10.11606/issn.2316-9028.v7i1p69-81