On the end depth and ends of groups

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.

arXiv comment16 pages, 10 figures

References in corpus (2)

• A new proof of Gromov's theorem on groups of polynomial growth
• A finitary version of Gromov's polynomial growth theorem