Asymptotic dimension of one relator groups

• Autorzy: Dmitry Matsnev
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 20F65: Geometric group theory
• 20F05: Generators, relations, and presentations
• 20F69: Asymptotic properties of groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 111
• Numer: 1
• Strony: 85-89

Daty

wydano

2008

Twórcy

autor

Dmitry Matsnev

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

Identyfikatory

DOI

10.4064/cm111-1-8