6533b7d6fe1ef96bd126715f

RESEARCH PRODUCT

Group algebras of torsion groups and Lie nilpotence

C. Polcino MiliesSudarshan K. SehgalAntonio Giambruno

subject

Discrete mathematicsPure mathematicsAlgebra and Number TheorySimple Lie groupAdjoint representationANÉIS DE GRUPOSGroup algebraRepresentation theoryGraded Lie algebraNon-abelian groupRepresentation of a Lie groupgroup algebra unitNilpotent groupMathematics

description

Letbe an involution of a group algebra FG induced by an involution of the group G. For char F 0 2, we classify the torsion groups G with no elements of order 2 whose Lie al- gebra of � -skew elements is nilpotent.

https://doi.org/10.1515/jgt.2009.048