Star-group identities on units of group algebras: The non-torsion case
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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}} for {g\in G} . This paper is focused on the characterization of a non-torsion group G provided the group of units {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].
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2016 ◽
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1998 ◽
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