Full paper in PDF format:
$%J. Smith, The asymptotic dimension of the first Grigorchuk group is infinity, Rev. Mat. Complut. 20 (2007), no. 1, 119–121. %$

The Asymptotic Dimension of the First Grigorchuk Group Is Infinity
Justin SMITH
University of Florida
Department of Mathematics
P.O. Box 118105, 358
Little Hall, Gainesville
FL 32611-8105 — USA


Received: June 22, 2006
Accepted: July 13, 2006


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: