On the number of universal sofic groups

DOI10.1090/S0002-9939-10-10280-9zbMath1196.03067OpenAlexW1975918573MaRDI QIDQ3574833

Simon Thomas

Publication date: 2 July 2010

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-10-10280-9

zbMATH Keywords

ultraproductssofic groupsexpander graphs

Mathematics Subject Classification ID

Asymptotic properties of groups (20F69) Continuum hypothesis and Martin's axiom (03E50)

Related Items (4)

Logic for metric structures and the number of universal sofic and hyperlinear groups ⋮ Sofic profiles of \(S(\omega)\) and computability ⋮ Linear sofic groups and algebras ⋮ Stability for product groups and property \(( \tau )\)

Cites Work

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• Normal subgroups of nonstandard symmetric and alternating groups
• Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski
• Hyperlinearity, essentially free actions and \(L^2\)-invariants. The sofic property
• Asymptotic cones of finitely presented groups
• Symmetric groups and expander graphs.
• Finite simple groups as expanders
• Hyperlinear and Sofic Groups: A Brief Guide

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