On the horofunction boundary of discrete Heisenberg group
Group Theory
2019-04-26 v1
Abstract
We consider finitely generated group endowed with a word metric. The group acts on itself by isometries, which induces an action on its horofunction boundary. The conjecture is that nilpotent groups act trivially on their reduced boundary. We will show this for the Heisenberg group. The main tool will be a discrete version of the isoperimetric inequality.
Keywords
Cite
@article{arxiv.1904.11234,
title = {On the horofunction boundary of discrete Heisenberg group},
author = {Uri Bader and Vladimir Finkelshtein},
journal= {arXiv preprint arXiv:1904.11234},
year = {2019}
}