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Asymptotic dimension of one relator groups

Dmitry Matsnev
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Abstract

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 give an estimate of their asymptotic dimension in terms of the relator length.

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Dmitry Matsnev. 2006-07-21. Asymptotic dimension of one relator groups. https://arxiv.org/abs/math/0607525

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