Classes of Groups Generalizing a Theorem of Benjamin Baumslag

DOI10.1080/00927872.2014.984837zbMath1346.20022arXiv1210.3950OpenAlexW1566710987MaRDI QIDQ2802216

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Publication date: 25 April 2016

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

Full work available at URL: https://arxiv.org/abs/1210.3950

zbMATH Keywords

limit groupsfully residually free groupscommutative transitivity

Mathematics Subject Classification ID

Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26) Groups acting on trees (20E08) Algebraic geometry over groups; equations over groups (20F70)

Related Items (3)

On CT and CSA groups and related ideas ⋮ On Fully Residually- Groups ⋮ Centralizers in Lie algebras

Cites Work

• The elementary theory of groups. A guide through the proofs of the Tarski conjectures.
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• Irreducible affine varieties over a free group. I: Irreducibility of quadratic equations and Nullstellensatz
• A classification of fully residually free groups of rank three or less
• Diophantine geometry over groups. III: Rigid and solid solutions.
• A classification of conjugately separated abelian, commutative transitive, and restricted Gromov one-relator groups.
• \(\exists\)-free groups
• On restricted gromov groups
• ON RESIDUALING HOMOMORPHISMS AND G-SUBGROUPS OF HYPERBOLIC GROUPS
• CSA-groups and separated free constructions
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