Distortion of wreath products in some finitely presented groups
Group Theory
2018-03-19 v1
Abstract
Wreath products such as Z wr Z are not finitely-presentable yet can occur as subgroups of finitely presented groups. Here we compute the distortion of Z wr Z as a subgroup of Thompson's group F and as a subgroup of Baumslag's metabelian group G. We find that Z wr Z is undistorted in F but is at least exponentially distorted in G.
Keywords
Cite
@article{arxiv.math/0505288,
title = {Distortion of wreath products in some finitely presented groups},
author = {Sean Cleary},
journal= {arXiv preprint arXiv:math/0505288},
year = {2018}
}
Comments
9 pages, 5 figures