Geodesic
Asymptotic dimension of one relator groups
Dmitry Matsnev1
1 Centro de Análise Matemática, Geometria e Sistemas Dinâmicos Departamento de Matemática Instituto Superior Técnico Avenida Rovisco Pais 1049-001 Lisboa, Portugal
Colloquium Mathematicum, Tome 111 (2008) no. 1, pp. 85-89

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that one relator groups viewed as metric spaces with respect to the word-length metric have finite asymptotic dimension in the sense of Gromov, and we give an improved estimate of that dimension in terms of the relator length. The construction is similar to one of Bell and Dranishnikov, but we produce a sharper estimate.
DOI : 10.4064/cm111-1-8
Keywords: relator groups viewed metric spaces respect word length metric have finite asymptotic dimension sense gromov improved estimate dimension terms relator length construction similar bell dranishnikov produce sharper estimate

Dmitry Matsnev 1

1 Centro de Análise Matemática, Geometria e Sistemas Dinâmicos Departamento de Matemática Instituto Superior Técnico Avenida Rovisco Pais 1049-001 Lisboa, Portugal 
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Dmitry Matsnev. Asymptotic dimension of one relator groups. Colloquium Mathematicum, Tome 111 (2008) no. 1, pp. 85-89. doi: 10.4064/cm111-1-8

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