The asymptotic dimension of the first Grigorchuk group is infinity.
Smith, Justin
Revista Matemática de la Universidad Complutense de Madrid, Tome 20 (2007), p. 119-121 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 2007-01-01
DMLE-ID : 4402 
@article{urn:eudml:doc:41929,
     title = {The asymptotic dimension of the first Grigorchuk group is infinity.},
     journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
     volume = {20},
     year = {2007},
     pages = {119-121},
     mrnumber = {MR2310581},
     zbl = {1133.20033},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41929}
}

Smith, Justin. The asymptotic dimension of the first Grigorchuk group is infinity.. Revista Matemática de la Universidad Complutense de Madrid, Tome 20 (2007) pp. 119-121. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41929/