Asymptotic dimension of one relator groups
Dmitry Matsnev
Colloquium Mathematicae, Tome 111 (2008), p. 85-89 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:283803 
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     title = {Asymptotic dimension of one relator groups},
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     year = {2008},
     pages = {85-89},
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     language = {en},
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Dmitry Matsnev. Asymptotic dimension of one relator groups. Colloquium Mathematicae, Tome 111 (2008) pp. 85-89. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm111-1-8/