Lie algebras with Frobenius dihedral groups of automorphisms

Published 7 Dec 2022 in math.RA | (2212.03522v1)

Abstract: Suppose that a Lie algebra $L$ admits a finite Frobenius group of automorphisms $FH$ with cyclic kernel $F$ and complement $H$ of order 2, such that the fixed-point subalgebra of $F$ is trivial and the fixed-point subalgebra of $H$ is metabelian. Then the derived length of $L$ is bounded by a constant.

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Authors (1)

N. Yu. Makarenko

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