Displaying similar documents to “On positive entire solutions to the Yamabe-type problem on the Heisenberg and stratified groups.”

Asymptotic dimension of one relator groups

Dmitry Matsnev (2008)

Colloquium Mathematicae

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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.