English

On the end depth and ends of groups

Group Theory 2012-07-05 v1

Abstract

We prove that any finitely generated one ended group has linear end depth. Moreover, we give alternative proofs to theorems relating the growth of a finitely generated group to the number of its ends.

Keywords

Cite

@article{arxiv.1207.0941,
  title  = {On the end depth and ends of groups},
  author = {Martha Giannoudovardi},
  journal= {arXiv preprint arXiv:1207.0941},
  year   = {2012}
}

Comments

16 pages, 10 figures

R2 v1 2026-06-21T21:30:19.590Z