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arXiv · 2106.04497

Cubulating random quotients of hyperbolic cubulated groups

David Futer·Daniel T. Wise
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Abstract

We show that low-density random quotients of cubulated hyperbolic groups are again cubulated (and hyperbolic). Ingredients of the proof include cubical small-cancellation theory, the exponential growth of conjugacy classes, and the statement that hyperplane stabilizers grow exponentially more slowly than the ambient cubical group.

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David Futer, Daniel T. Wise. 2021-06-08. Cubulating random quotients of hyperbolic cubulated groups. https://doi.org/10.1090/btran%2F180

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