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Bibliographic Details
Main Author: Li, Changqian
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.21734
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Table of Contents:
  • Let $G$ be a virtually compact special Gromov-hyperbolic group. We prove that the double $G *_H G$ along a quasiconvex subgroup $H$ is virtually compact special. More generally, we show that if a finite graph of groups has constant vertex groups, with each vertex group virtually compact special Gromov-hyperbolic and each edge group quasiconvex in its adjacent vertex groups, then its fundamental group is virtually compact special.