∗-group identities on units of group rings


Analogous to ∗-polynomial identities in rings, we introduce the concept of ∗- group identities in groups. When F is an infinite field of characteristic different from 2, we classify the torsion groups with involution G so that the unit group of FG satisfies a ∗-group identity. The history and motivations will be given for such an investigation.

DOI Code: 10.1285/i15900932v33n1p132

Keywords: Group Identities; Involutions; Group algebras

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