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arXiv · 1903.12284

Hierarchies for Relatively Hyperbolic Virtually Special Groups

Eduard Einstein
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Abstract

Wise's Quasiconvex Hierarchy Theorem classifying hyperbolic virtually compact special groups in terms of quasiconvex hierarchies played an essential role in Agol's proof of the Virtual Haken Conjecture. Answering a question of Wise, we construct a new virtual quasiconvex hierarchy for relatively hyperbolic virtually compact special groups. We use this hierarchy to prove a generalization of Wise's Malnormal Special Quotient Theorem for relatively hyperbolic virtually compact special groups with arbitrary peripheral subgroups.

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Eduard Einstein. 2019-03-28. Hierarchies for Relatively Hyperbolic Virtually Special Groups. https://doi.org/10.2140/agt.2025.25.4437

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