Generic Phenomena in Groups -- Some Answers and Many Questions

zbMath1341.20035arXiv1211.6509MaRDI QIDQ2809752

Igor Rivin

Publication date: 30 May 2016

Full work available at URL: https://arxiv.org/abs/1211.6509

zbMATH Keywords

groupsmodular groupsurfaceslatticesmapping class groupsgenericityZariski-densityrandom matrix productsthree-dimensional manifolds

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Discrete subgroups of Lie groups (22E40) Structure of modular groups and generalizations; arithmetic groups (11F06) Other matrix groups over rings (20H25) General geometric structures on low-dimensional manifolds (57M50) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Hyperbolic groups and nonpositively curved groups (20F67) Linear algebraic groups over local fields and their integers (20G25) Probabilistic methods in group theory (20P05)

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