Group rings with Lie metabelian set of symmetric elements
classification
🧮 math.RA
keywords
groupelementsmetabelianringsymmetricarbitrarycharacteristicclassical
read the original abstract
Let $R$ be a commutative ring of characteristic zero and $G$ an arbitrary group. In the present paper we classify the groups $G$ for which the set of symmetric elements with respect to the classical involution of the group ring $RG$ is Lie metabelian.
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