English

Distortion in Free Nilpotent Groups

Group Theory 2010-09-15 v1

Abstract

We prove that a subgroup of a finitely generated free nilpotent group F is undistorted if and only if it is a retract of a subgroup of finite index in F.

Keywords

Cite

@article{arxiv.1009.2730,
  title  = {Distortion in Free Nilpotent Groups},
  author = {Tara Davis},
  journal= {arXiv preprint arXiv:1009.2730},
  year   = {2010}
}
R2 v1 2026-06-21T16:13:51.304Z