On the concept of ``largeness in group theory.

DOI10.1016/j.jalgebra.2009.08.019zbMath1215.20035OpenAlexW2014961654MaRDI QIDQ848514

Simon Thomas

Publication date: 4 March 2010

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.08.019

zbMATH Keywords

subgroups of finite indexfinitely generated groupsBorel equivalence relationscombinatorial group theorylargeness of groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Descriptive set theory (03E15) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (2)

A topological zero-one law and elementary equivalence of finitely generated groups ⋮ Ordering the space of finitely generated groups

Cites Work

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• On infinite complete groups
• THE VIRTUAL ISOMORPHISM PROBLEM FOR FINITELY GENERATED GROUPS
• Complete analytic equivalence relations
• Cofinal families of Borel equivalence relations and quasiorders
• On Dehn's algorithms for the conjugacy and word problems, with applications

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