Complete outer automorphism groups of free nilpotent groups

2025/106/3-4 (10) — DOI: 10.5486/PMD.2025.9997 — pp. 419-443

Authors: Vladimir A. Tolstykh

Abstract:

We prove that the outer automorphism group $\operatorname{Out}(N)$ of an infinitely generated free nilpotent group $N$ of class two is complete.

Keywords: free nilpotent groups, automorphism groups, outer automorphism groups

Mathematics Subject Classification: 20F28, 20F18