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Groups definable in separably closed fields |
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| Authors: | E. Bouscaren F. Delon |
| Affiliation: | Université Paris 7- CNRS, UFR de Mathématiques, Case 7012, 2 Place Jussieu, 75251 Paris cedex 05, France ; Université Paris 7- CNRS, UFR de Mathématiques, Case 7012, 2 Place Jussieu, 75251 Paris cedex 05, France |
| Abstract: | We consider the groups which are infinitely definable in separably closed fields of finite degree of imperfection. We prove in particular that no new definable groups arise in this way: we show that any group definable in such a field  is definably isomorphic to the group of  -rational points of an algebraic group defined over  . |
| Keywords: | Separably closed fields groups |
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