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arXiv · 1904.06021

Stature and separability in graphs of groups

Jingyin Huang·Daniel T. Wise
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Abstract

We introduce the notion of finite stature of a family $\{H_i\}$ of subgroups of a group $G$. We investigate the separability of subgroups of a group $G$ that splits as a graph of hyperbolic special groups with quasiconvex edge groups. We prove that when the vertex groups of $G$ have finite stature, then quasiconvex subgroups of the vertex groups of $G$ are separable in $G$. We present some partial results in a relatively hyperbolic framework.

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Jingyin Huang, Daniel T. Wise. 2019-04-12. Stature and separability in graphs of groups. https://arxiv.org/abs/1904.06021

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