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Minimal groups in separably closed fields

Published online by Cambridge University Press:  12 March 2014

E. Bouscaren  and
F. Delon
E. Bouscaren
Affiliation:
Université Paris, 7 - CNRS, UFR de Mathématiques - Case 7012, 2 Place Jussieu, 75251 Paris Cedex 05, France, E-mail: elibou@logique.jussieu.fr
F. Delon
Affiliation:
Université Paris, 7 - CNRS, UFR de Mathématiques - Case 7012, 2 Place Jussieu, 75251 Paris Cedex 05, France, E-mail: delon@logique.jussieu.fr
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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).

Keywords

Separably closed fieldsgroupsminimal types

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 67 , Issue 1 , March 2002 , pp. 239 - 259
Copyright
Copyright © Association for Symbolic Logic 2002

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References

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