Asymptotic dimension of one relator groups
Colloquium Mathematicae (2008)
- Volume: 111, Issue: 1, page 85-89
- ISSN: 0010-1354
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topDmitry Matsnev. "Asymptotic dimension of one relator groups." Colloquium Mathematicae 111.1 (2008): 85-89. <http://eudml.org/doc/283803>.
@article{DmitryMatsnev2008,
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 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.},
author = {Dmitry Matsnev},
journal = {Colloquium Mathematicae},
keywords = {asymptotic dimension; one-relator groups},
language = {eng},
number = {1},
pages = {85-89},
title = {Asymptotic dimension of one relator groups},
url = {http://eudml.org/doc/283803},
volume = {111},
year = {2008},
}
TY - JOUR
AU - Dmitry Matsnev
TI - Asymptotic dimension of one relator groups
JO - Colloquium Mathematicae
PY - 2008
VL - 111
IS - 1
SP - 85
EP - 89
AB - 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.
LA - eng
KW - asymptotic dimension; one-relator groups
UR - http://eudml.org/doc/283803
ER -
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