The asymptotic dimension of the first Grigorchuk group is infinity.

Smith, Justin. "The asymptotic dimension of the first Grigorchuk group is infinity.." Revista Matemática Complutense 20.1 (2007): 119-121. <http://eudml.org/doc/41929>.

@article{Smith2007,
abstract = {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.},
author = {Smith, Justin},
journal = {Revista Matemática Complutense},
keywords = {Teoría de grupos; Grupos finitos; Grupos infinitos; finitely generated groups; infinite asymptotic dimension; first Grigorchuk group},
language = {eng},
number = {1},
pages = {119-121},
title = {The asymptotic dimension of the first Grigorchuk group is infinity.},
url = {http://eudml.org/doc/41929},
volume = {20},
year = {2007},
}

TY - JOUR
AU - Smith, Justin
TI - The asymptotic dimension of the first Grigorchuk group is infinity.
JO - Revista Matemática Complutense
PY - 2007
VL - 20
IS - 1
SP - 119
EP - 121
AB - 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.
LA - eng
KW - Teoría de grupos; Grupos finitos; Grupos infinitos; finitely generated groups; infinite asymptotic dimension; first Grigorchuk group
UR - http://eudml.org/doc/41929
ER -