English

Asymptotic dimension of one relator groups

Group Theory 2007-05-23 v1

Abstract

We show that one relator groups viewed as metric spaces with respect to the word-length metric have finite asymptotic dimension in the sense of Gromov and give an estimate of their asymptotic dimension in terms of the relator length.

Keywords

Cite

@article{arxiv.math/0607525,
  title  = {Asymptotic dimension of one relator groups},
  author = {Dmitry Matsnev},
  journal= {arXiv preprint arXiv:math/0607525},
  year   = {2007}
}

Comments

5 pages

R2 v1 2026-07-22T17:39:21.739Z