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Asymptotic dimension of one relator groups

Tom 111 / 2008

Dmitry Matsnev Colloquium Mathematicum 111 (2008), 85-89 MSC: Primary 20F65; Secondary 20F05, 20F69. DOI: 10.4064/cm111-1-8

Streszczenie

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.

Autorzy

  • Dmitry MatsnevCentro de Análise Matemática,
    Geometria e Sistemas Dinâmicos
    Departamento de Matemática
    Instituto Superior Técnico
    Avenida Rovisco Pais
    1049-001 Lisboa, Portugal
    e-mail

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