The asymptotic dimension of the first Grigorchuk group is infinity

• Autores: Justin Smith
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 20, Nº 1, 2007, págs. 119-121
• Idioma: inglés
• DOI: 10.5209/rev_rema.2007.v20.n1.16546
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• Resumen

  • 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.