Asymptotic dimension of one relator groups
Volume 111 / 2008
Colloquium Mathematicum 111 (2008), 85-89
MSC: Primary 20F65; Secondary 20F05, 20F69.
DOI: 10.4064/cm111-1-8
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 we give an improved estimate of that dimension in terms of the relator length. The construction is similar to one of Bell and Dranishnikov, but we produce a sharper estimate.
