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

DOI10.1090/proc/14754zbMath1481.20157arXiv1705.10258OpenAlexW3009490657MaRDI QIDQ5111491

Romain Tessera, Dominik Gruber, Alessandro Sisto

Publication date: 27 May 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.10258

Mathematics Subject Classification ID

Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (5)

Counting problems in graph products and relatively hyperbolic groups ⋮ Random walks on mapping class groups ⋮ Infinitely presented graphical small cancellation groups are acylindrically hyperbolic ⋮ Acylindrically hyperbolic groups with exotic properties ⋮ Divergence and quasi-isometry classes of random Gromov’s monsters

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• Property \((T)\) and rigidity for actions on Banach spaces
• The first \(L^p\)-cohomology of some groups with one end
• Acylindrical group actions on quasi-trees
• On a small cancellation theorem of Gromov.
• Hyperbolic groups admit proper affine isometric actions on \(l^p\)-spaces
• Small cancellation labellings of some infinite graphs and applications
• Poincaré inequalities, embeddings, and wild groups
• Infinitely presented graphical small cancellation groups are acylindrically hyperbolic
• Groups with graphical 𝐶(6) and 𝐶(7) small cancellation presentations
• Random Subgroups of Acylindrically Hyperbolic Groups and Hyperbolic Embeddings

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