@Article{CMR-32-2,
author = {Xu, Tao and Liu, Heguo},
title = {Finitely Generated Torsion-Free Nilpotent Groups Admitting an Automorphism of Prime Order},
journal = {Communications in Mathematical Research },
year = {2016},
volume = {32},
number = {2},
pages = {167--172},
abstract = {<p style="text-align: justify;">Let $G$ be a finitely generated torsion-free nilpotent group and $α$ an automorphism of prime order $p$ of $G$. If the map $φ : G&nbsp;→&nbsp;G$ defined by $g^φ = [g, α]$ is surjective, then the nilpotent class of $G$ is at most $h(p)$, where $h(p)$ is a function
depending only on $p$. In particular, if $α^3 = 1$, then the nilpotent class of $G$ is at most $2$.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2016.02.09},
url = {https://global-sci.com/article/81671/finitely-generated-torsion-free-nilpotent-groups-admitting-an-automorphism-of-prime-order}
}