Full paper in PDF format:
$%J. Smith, The asymptotic dimension of the first Grigorchuk group is infinity, Rev. Mat. Complut. 20 (2007), no. 1, 119–121. %$
We describe a sufficient condition for a finitely generated group to have infinite asymptotic dimension. As an application, we conclude that the first Grigorchuk group has infinite asymptotic dimension.
Key words: asymptotic dimension.
2000 Mathematics Subject Classification: 20F69.