Endomorphisms of nilpotent groups of finite rank
Group Theory
2018-01-19 v1
Abstract
We obtain sufficient criteria for endomorphisms of torsion-free nilpotent groups of finite rank to be automorphisms, by considering the induced maps on the torsion-free abelianisation and the centre. Whilst these results are known in the finitely generated case removing this assumption introduces several difficulties.
Cite
@article{arxiv.1801.06162,
title = {Endomorphisms of nilpotent groups of finite rank},
author = {Hector Durham},
journal= {arXiv preprint arXiv:1801.06162},
year = {2018}
}