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arXiv · 1905.07925

Asymptotic Dimension of Graphs of Groups and One Relator Groups

Panagiotis Tselekidis
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Abstract

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 further 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.

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Panagiotis Tselekidis. 2019-05-20. Asymptotic Dimension of Graphs of Groups and One Relator Groups. https://doi.org/10.2140/agt.2023.23.3587

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