Height in Splitting of Relatively Hyperbolic Groups
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Publication:6264729
DOI10.1007/S10711-020-00571-1zbMATH Open1510.20041arXiv1508.05188MaRDI QIDQ6264729
Publication date: 21 August 2015
Abstract: Given a finite graph of relatively hyperbolic groups with its fundamental group relatively hyperbolic and edge groups quasi-isometrically embedded and relatively quasiconvex in vertex groups, we prove that vertex groups are relatively quasiconvex if and only if all the vertex groups have finite relative height in the fundamental group.
Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67) Groups acting on trees (20E08)
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