A remark on the Higman–Neumann–Neumann embedding theorem

DOI10.1515/JGT.2008.097zbMath1215.20034OpenAlexW2040319154MaRDI QIDQ3393372

Simon Thomas

Publication date: 20 August 2009

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2008.097

zbMATH Keywords

forcingfinitely generated groupsabsolutenessBorel equivalence relationscountably infinite groupsHigman-Neumann-Neumann embedding theorem

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Descriptive set theory (03E15) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Generic absoluteness and forcing axioms (03E57)

Related Items (1)

The Friedman embedding theorem.

Cites Work

• On the complexity of the isomorphism relation for finitely generated groups
• Orbit cardinals: On the effective cardinalities arising as quotient spaces of the form \(X/G\) where \(G\) acts on a Polish space \(X\)
• Embedding Countable Groups in 2-Generator Groups
• Some new results on Borel irreducibility of equivalence relations
• Some Remarks on Infinite Groups
• Embedding Theorems for Groups
• Borel equivalence relations and classifications of countable models

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