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Article Dans Une Revue Proceedings of the American Mathematical Society Année : 2020

Random Gromov’s monsters do not act non-elementarily on hyperbolic spaces

Résumé

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.

Dates et versions

hal-04315729 , version 1 (30-11-2023)

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Dominik Gruber, Alessandro Sisto, Romain Tessera. Random Gromov’s monsters do not act non-elementarily on hyperbolic spaces. Proceedings of the American Mathematical Society, 2020, 148 (7), pp.2773-2782. ⟨10.1090/proc/14754⟩. ⟨hal-04315729⟩
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