Superrosy dependent groups having finitely satisfiable generics

Annals of Pure and Applied Logic 151 (1):1-21 (2008)
Abstract
We develop a basic theory of rosy groups and we study groups of small Uþ-rank satisfying NIP and having finitely satisfiable generics: Uþ-rank 1 implies that the group is abelian-by-finite, Uþ-rank 2 implies that the group is solvable-by-finite, Uþ-rank 2, and not being nilpotent-by-finite implies the existence of an interpretable algebraically closed field
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DOI 10.1016/j.apal.2007.09.004
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References found in this work BETA

Characterizing Rosy Theories.Clifton Ealy & Alf Onshuus - 2007 - Journal of Symbolic Logic 72 (3):919 - 940.
Properties and Consequences of Thorn-Independence.Alf Onshuus - 2006 - Journal of Symbolic Logic 71 (1):1 - 21.
Superstable Fields and Groups.G. Cherlin & S. Shelah - 1980 - Annals of Mathematical Logic 18 (3):227-270.
One-Dimensional Groups Over an o-Minimal Structure.Vladimir Razenj - 1991 - Annals of Pure and Applied Logic 53 (3):269-277.
Groups of Dimension Two and Three Over o-Minimal Structures.A. Nesin, A. Pillay & V. Razenj - 1991 - Annals of Pure and Applied Logic 53 (3):279-296.

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Citations of this work BETA

On Ω-Categorical, Generically Stable Groups.Jan Dobrowolski & Krzysztof Krupiński - 2012 - Journal of Symbolic Logic 77 (3):1047-1056.
Stable Types in Rosy Theories.Assaf Hasson & Alf Onshuus - 2010 - Journal of Symbolic Logic 75 (4):1211-1230.
On Ω-Categorical, Generically Stable Groups and Rings.Jan Dobrowolski & Krzysztof Krupiński - 2013 - Annals of Pure and Applied Logic 164 (7-8):802-812.
Superrosy Fields and Valuations.Krzysztof Krupiński - 2015 - Annals of Pure and Applied Logic 166 (3):342-357.

View all 7 citations / Add more citations

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