On ω-categorical, generically stable groups and rings

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Annals of Pure and Applied Logic 164 (7-8):802-812 (2013)
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Abstract

We prove that every ω-categorical, generically stable group is nilpotent-by-finite and that every ω-categorical, generically stable ring is nilpotent-by-finite

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10.1016/j.apal.2013.01.003

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References found in this work

Supersimple ω-categorical groups and theories.David M. Evans & Frank O. Wagner - 2000 - Journal of Symbolic Logic 65 (2):767-776.
Generic stability and stability.Hans Adler, Enrique Casanovas & Anand Pillay - 2014 - Journal of Symbolic Logic 79 (1):179-185.
On ω-categorical, generically stable groups.Jan Dobrowolski & Krzysztof Krupiński - 2012 - Journal of Symbolic Logic 77 (3):1047-1056.
On ℵ0-categorical nilrings. II.Gregory Cherlin - 1980 - Journal of Symbolic Logic 45 (2):291 - 301.

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