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Minimal groups in separably closed fields
Journal of Symbolic Logic 67 (1):239-259 (2002)
Abstract
We give a complete description of minimal groups infinitely definable in separably closed fields of finite degree of imperfection. In particular we answer positively the question of the existence of such a group with infinite transcendence degree (i.e., a minimal group with non thin generic)Links
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Citations of this work
Subgroups of the additive group of a separably closed field.Thomas Blossier - 2005 - Annals of Pure and Applied Logic 134 (2-3):169-216.
Sous-groupes additifs de rangs dénombrables dans un corps séparablement clos.Thomas Blossier - 2011 - Archive for Mathematical Logic 50 (3-4):459-476.
Profinite structures interpretable in fields.Krzysztof Krupiński - 2006 - Annals of Pure and Applied Logic 142 (1):19-54.
On function field Mordell–Lang and Manin–Mumford.Franck Benoist, Elisabeth Bouscaren & Anand Pillay - 2016 - Journal of Mathematical Logic 16 (1):1650001.
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