Search results for "Lie n-Engel"

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Lie properties of symmetric elements in group rings

2009

Abstract Let ∗ be an involution of a group G extended linearly to the group algebra KG . We prove that if G contains no 2-elements and K is a field of characteristic p ≠ 2 , then the ∗-symmetric elements of KG are Lie nilpotent (Lie n -Engel) if and only if KG is Lie nilpotent (Lie n -Engel).

Pure mathematicsAdjoint representation010103 numerical & computational mathematicsCentral series01 natural sciencesGraded Lie algebraMathematics::Group TheoryRepresentation of a Lie groupGroup ring LieLie nilpotentGroup algebra0101 mathematicsMathematics::Representation TheoryMathematicsDiscrete mathematicsAlgebra and Number TheorySimple Lie groupTEORIA DOS GRUPOSMathematics::Rings and Algebras010102 general mathematicsLie conformal algebraAdjoint representation of a Lie algebraLie n-EngelNilpotent groupSymmetric element
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