Interpreting groups in ω-categorical structures

Journal of Symbolic Logic 56 (4):1317-1324 (1991)
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Abstract

It is shown that no infinite group is interpretable in any structure which is homogeneous in a finite relational language. Related questions are discussed for other ω-categorical structures

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Citations of this work

Binary simple homogeneous structures.Vera Koponen - 2018 - Annals of Pure and Applied Logic 169 (12):1335-1368.
Random ℓ‐colourable structures with a pregeometry.Ove Ahlman & Vera Koponen - 2017 - Mathematical Logic Quarterly 63 (1-2):32-58.
Binary primitive homogeneous simple structures.Vera Koponen - 2017 - Journal of Symbolic Logic 82 (1):183-207.
Supersimple ω-categorical theories and pregeometries.Vera Koponen - 2019 - Annals of Pure and Applied Logic 170 (12):102718.

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References found in this work

ℵ0-Categorical, ℵ0-stable structures.Gregory Cherlin, Leo Harrington & Alistair H. Lachlan - 1985 - Annals of Pure and Applied Logic 28 (2):103-135.
Structures coordinatized by indiscernible sets.A. H. Lachlan - 1987 - Annals of Pure and Applied Logic 34 (3):245-273.

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