A note on Lie centrally metabelian group algebras
Let \(K\) be a field with characteristic 3, \(G\) be a non-Abelian group and let \(L(KG)\) denote the associated Lie algebra of the group algebra \(KG\). The authors prove that \(L(KG)\) is centrally metabelian if and only if the commutator subgroup \(G'\) is of order 3. This result settles completely the characterization of the Lie centrally metabelian group algebras \(KG\) with \(\text{char }K\neq 2\).
scientific article; zbMATH DE number 1014028