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

Dominik Gruber; Alessandro Sisto; Romain Tessera

doi:10.1090/proc/14754

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

Dominik Gruber
, Alessandro Sisto
, Romain Tessera

ETH Zurich
Laboratoire de Mathématiques d'Orsay

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

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.

langue originale	Anglais
Pages (de - à)	2773-2782
Nombre de pages	10
journal	Proceedings of the American Mathematical Society
Volume	148
Numéro de publication	7
Les DOIs	https://doi.org/10.1090/proc/14754
état	Publié - 1 juil. 2020
Modification externe	Oui

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10.1090/proc/14754

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

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