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- W4299636710 abstract "In this paper we provide a procedure to obtain a non-trivial HHS structure on a hyperbolic space. In particular, we prove that given a finite collection $mathcal{F}$ of quasi-convex subgroups of a hyperbolic group $G$, there is an HHG structure on $G$ that is compatible with $mathcal{F}$. We will use this to provide explicit descriptions of the Gromov Boundary of hyperbolic HHS and HHG, and we recover results from Hamenstadt, Manning, Trang for the case when $G$ is hyperbolic relative to $mathcal{F}$. Further applications in the construction of new HHG will be presented in a subsequent paper." @default.
- W4299636710 created "2022-10-02" @default.
- W4299636710 creator A5049675430 @default.
- W4299636710 date "2017-11-29" @default.
- W4299636710 modified "2023-09-26" @default.
- W4299636710 title "Hyperbolic HHS I:Factor Systems and Quasi-convex subgroups" @default.
- W4299636710 doi "https://doi.org/10.48550/arxiv.1711.10931" @default.
- W4299636710 hasPublicationYear "2017" @default.
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