On asymptotic dimension of groups acting on trees

G. Bell; A. Dranishnikov

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On asymptotic dimension of groups acting on trees

G. Bell·A. Dranishnikov

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Abstract

We prove the following theorem: Let $π$ be the fundamental group of a finite graph of groups with finitely generated vertex groups $G_v$ having asdim $G_v\le n$ for all vertices $v$. Then asdim$π\le n+1$. This gives the best possible estimate for the asymptotic dimension of an HNN extension and the amalgamated product.

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BibTeX RIS

G. Bell, A. Dranishnikov. 2002-09-06. On asymptotic dimension of groups acting on trees. https://arxiv.org/abs/math/0111087

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