Random groups contain surface subgroups

DOI10.1090/S0894-0347-2014-00802-XzbMath1376.20046arXiv1304.2188OpenAlexW2964350858MaRDI QIDQ5497070

Alden Walker, Danny Calegari

Publication date: 2 February 2015

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

Full work available at URL: https://arxiv.org/abs/1304.2188

zbMATH Keywords

random groupquasiconvex surface subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Topological methods in group theory (57M07) Probabilistic methods in group theory (20P05)

Related Items

3-manifolds everywhere, Essential surfaces in graph pairs, The free group on \(n\) generators modulo \(n + u\) random relations as \(n\) goes to infinity, Freiheitssatz and phase transition for the density model of random groups, Homology of curves and surfaces in closed hyperbolic 3-manifolds, Random Möbius groups. I: Random subgroups of \(\operatorname{PSL}(2,\mathbb{R})\), Embeddings into Thompson's group V and coCF groups, Scl in graphs of groups

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