English

A group with deep pockets for all finite generating sets

Group Theory 2007-05-23 v1

Abstract

We show that the discrete Heisenberg group has unbounded dead-end depth with respect to every finite generating set. We also show that, in contrast, it has bounded retreat depth.

Keywords

Cite

@article{arxiv.math/0703926,
  title  = {A group with deep pockets for all finite generating sets},
  author = {Andrew D. Warshall},
  journal= {arXiv preprint arXiv:math/0703926},
  year   = {2007}
}

Comments

13 pages, no figures