THE CLASSIFICATION PROBLEM FOR p-LOCAL TORSION-FREE ABELIAN GROUPS OF RANK TWO

DOI10.1142/S021906130600058XzbMath1115.03062OpenAlexW2085580206MaRDI QIDQ3444858

Simon Thomas, Greg Hjorth

Publication date: 5 June 2007

Published in: Journal of Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021906130600058x

zbMATH Keywords

Borel equivalence relationsuperrigiditytorsion-free abelian group

Mathematics Subject Classification ID

Descriptive set theory (03E15) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Torsion-free groups, finite rank (20K15)

Related Items (6)

Classes of Ulm type and coding rank-homogeneous trees in other structures ⋮ PROPERTY τ AND COUNTABLE BOREL EQUIVALENCE RELATIONS ⋮ The classification problem for \(S\)-local torsion-free abelian groups of finite rank ⋮ The classification of torsion-free abelian groups of finite rank up to isomorphism and up to quasi-isomorphism ⋮ Orbit equivalence and Borel reducibility rigidity for profinite actions with spectral gap ⋮ Embedding solenoids in foliations

Cites Work

• Ergodic actions of semisimple groups and product relations
• Discrete groups, expanding graphs and invariant measures. With an appendix by Jonathan D. Rogawski
• On the complexity of the classification problem for torsion-free abelian groups of rank two.
• Superrigidity and countable Borel equivalence relations
• Ergodic theory, group representations, and rigidity
• Asymptotically Invariant Sequences and Approximate Finiteness
• Linear algebraic groups and countable Borel equivalence relations
• On the Classification Problem for Rank 2 Torsion-Free Abelian Groups
• COUNTABLE BOREL EQUIVALENCE RELATIONS
• The classification problem for torsion-free abelian groups of finite rank
• Borel equivalence relations and classifications of countable models

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