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arXiv · 1808.02325

Hyperbolic groups acting improperly

Daniel Groves·Jason F. Manning
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Abstract

In this paper we study hyperbolic groups acting on CAT(0) cube complexes. The first main result (Theorem A) is a structural result about the Sageev construction, in which we relate quasi-convexity of hyperplane stabilizers with quasi-convexity of cell stabilizers. The second main result (Theorem D) generalizes both Agol's theorem on cubulated hyperbolic groups and Wise's Quasi-convex Hierarchy Theorem.

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Daniel Groves, Jason F. Manning. 2018-08-07. Hyperbolic groups acting improperly. https://doi.org/10.2140/gt.2023.27.3387

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