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arXiv · 1809.01493

On Local Tameness of Certain Graphs of Groups

Rita Gitik
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Abstract

Let $G$ be the fundamental group of a finite graph of groups with Noetherian edges and locally tame vertices. We prove that $G$ is locally tame. It follows that if a finitely presented group $H$ has a non-trivial $JSJ$-decomposition over the class of its $VPC(k)$ subgroups for $k=1$ or $k=2$, and all the vertex groups in the decomposition are flexible, then $H$ is locally tame.

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Rita Gitik. 2018-08-29. On Local Tameness of Certain Graphs of Groups. https://arxiv.org/abs/1809.01493

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