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arXiv · 1705.10258

Gromov's random monsters do not act non-elementarily on hyperbolic spaces

Dominik Gruber·Alessandro Sisto·Romain Tessera
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Abstract

We show that Gromov's monster groups arising from i.i.d. labelings of expander graphs do not admit non-elementary actions on geodesic hyperbolic spaces. The proof relies on comparing properties of random walks on randomly labeled graphs and on groups acting non-elementarily on hyperbolic spaces.

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Dominik Gruber, Alessandro Sisto, Romain Tessera. 2017-05-29. Gromov's random monsters do not act non-elementarily on hyperbolic spaces. https://arxiv.org/abs/1705.10258

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