Type-definable groups in C-minimal structures |
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| Authors: | Fares Maalouf |
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| Institution: | Équipe de logique mathématique, CNRS-UFR de mathématiques, université Paris 7, 175, rue du Chevaleret, 75013 Paris, France |
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| Abstract: | This Note studies type-definable groups in C-minimal structures. We show first for some of these groups, that they contain a cone which is a subgroup. This result will be applied to show that in any geometric locally modular non-trivial C-minimal structure, there is a definable infinite C-minimal group. |
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