On automorphisms of certain free nilpotent-by-abelian Lie algebras

2022/12/12 by Kofinas, C. E., Papistas, A. I.
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2212.05957

Abstract

For a positive integer n, with n ≥ 4, let R_n be a free (nilpotent of class 2)-by-abelian and abelian-by-(nilpotent of class 2) Lie algebra of rank n. We show that the subgroup of Aut(R_n) generated by the tame automorphisms and a countably infinite set of explicitly given automorphisms of R_n is dense in Aut(R_n) with respect to the formal power series topology.

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