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DE BEAUX GROUPES

Thomas Blossier 1 Amador Martin-Pizarro 1 
1 AGL - Algèbre, géométrie, logique
ICJ - Institut Camille Jordan [Villeurbanne]
Abstract : In this short paper, we will provide a characterisation of interpretable groups in a beautiful pair (K, E) of algebraically closed fields : every interpretable group is, up to isogeny, the extension of the subgroup of E-rational points of an algebraic group by an interpretable group which is the quotient of an algebraic group by the E-rational points of an algebraic subgroup.
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Submitted on : Wednesday, May 21, 2014 - 9:13:11 PM
Last modification on : Monday, June 28, 2021 - 2:26:06 PM
Long-term archiving on: : Thursday, August 21, 2014 - 12:40:57 PM

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  • HAL Id : hal-00837759, version 6
  • ARXIV : 1306.5849

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Thomas Blossier, Amador Martin-Pizarro. DE BEAUX GROUPES. Confluentes Mathematici, Institut Camille Jordan et Unité de Mathématiques Pures et Appliquées, 2014, 6 (1), pp.29-39. ⟨hal-00837759v6⟩

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