In the present note, we show that if G is a finite group ad (FG)^+ is Lie metabelian, then G is nilpotent. Based on this result, we deduce that id G i torsion, p\neq 3 and (FG)^+ is Lie metabelian, then G must abelian. This extends a result of Levin and Rosemberger.
Group algebras whose symmetric elements are Lie metabelian.
CATINO, Francesco;
2014-01-01
Abstract
In the present note, we show that if G is a finite group ad (FG)^+ is Lie metabelian, then G is nilpotent. Based on this result, we deduce that id G i torsion, p\neq 3 and (FG)^+ is Lie metabelian, then G must abelian. This extends a result of Levin and Rosemberger.File in questo prodotto:
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