Asymptotic dimension of graphs of groups and one-relator groups
Algebraic and Geometric Topology, Tome 23 (2023) no. 8, pp. 3587-3613
Voir la notice de l'article provenant de la source Mathematical Sciences Publishers
We prove a new inequality for the asymptotic dimension of HNN-extensions. We deduce that the asymptotic dimension of every finitely generated one-relator group is at most two, confirming a conjecture of A Dranishnikov. As corollaries we calculate the exact asymptotic dimension of right-angled Artin groups and we give a new upper bound for the asymptotic dimension of fundamental groups of graphs of groups.
Keywords:
asymptotic dimension, one-relator groups, graph of groups,
RAAGs, geometric group theory
Affiliations des auteurs :
Tselekidis, Panagiotis 1
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author = {Tselekidis, Panagiotis},
title = {Asymptotic dimension of graphs of groups and one-relator groups},
journal = {Algebraic and Geometric Topology},
pages = {3587--3613},
publisher = {mathdoc},
volume = {23},
number = {8},
year = {2023},
doi = {10.2140/agt.2023.23.3587},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.3587/}
}
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%0 Journal Article %A Tselekidis, Panagiotis %T Asymptotic dimension of graphs of groups and one-relator groups %J Algebraic and Geometric Topology %D 2023 %P 3587-3613 %V 23 %N 8 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.3587/ %R 10.2140/agt.2023.23.3587 %F 10_2140_agt_2023_23_3587
Tselekidis, Panagiotis. Asymptotic dimension of graphs of groups and one-relator groups. Algebraic and Geometric Topology, Tome 23 (2023) no. 8, pp. 3587-3613. doi: 10.2140/agt.2023.23.3587
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