Homogeneity in the free group.

DOI10.1215/00127094-1813068zbMath1270.20028arXiv1003.4095OpenAlexW2064334592MaRDI QIDQ1759768

Rizos Sklinos, Chloé Perin

Publication date: 22 November 2012

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4095

zbMATH Keywords

primitive elementshomogeneityfree groupsfirst-order propertieshyperbolic towers

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Free nonabelian groups (20E05) Hyperbolic groups and nonpositively curved groups (20F67) Basic properties of first-order languages and structures (03C07)

Related Items (22)

Forking and JSJ decompositions in the free group ⋮ Homogeneity in virtually free groups ⋮ Algebraic logic and logical geometry. Two in one ⋮ Hyperbolic towers and independent generic sets in the theory of free groups. ⋮ Independence and freedom ⋮ Co‐Hopfian virtually free groups and elementary equivalence ⋮ Multi-sorted logic and logical geometry: some problems. ⋮ Homogeneity in relatively free groups. ⋮ Action of endomorphism semigroups on definable sets ⋮ Characterization of finitely generated groups by types ⋮ Types of points and algebras ⋮ Forking and JSJ decompositions in the free group II ⋮ Algebraic and definable closure in free groups ⋮ ALGEBRAIC LOGIC AND LOGICALLY-GEOMETRIC TYPES IN VARIETIES OF ALGEBRAS ⋮ Bi-interpretability of some monoids with the arithmetic and applications ⋮ Divisible rigid groups. III: Homogeneity and quantifier elimination ⋮ Fraïssé limits of limit groups ⋮ Maximal hyperbolic towers and weight in the theory of free groups ⋮ Prime and homogeneous rings and algebras ⋮ First-order aspects of Coxeter groups ⋮ Geometric view on homogeneous groups ⋮ Non-∀-homogeneity in free groups

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