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A la recherche du tore perdu

Thomas Blossier 1 Amador Martin-Pizarro 1 Frank Olaf Wagner 1 
1 AGL - Algèbre, géométrie, logique
ICJ - Institut Camille Jordan [Villeurbanne]
Abstract : We classify the groups definable in the coloured fields obtained by Hrushovski amalgamation. A group definable in the bad green field is isogenous to the quotient of a subgroup of an algebraic group by a Cartesian power of the group of green elements. A definable subgroup of an algebraic group in the green or red field is an extension of the coloured points of a multiplicative or additive algebraic group by an algebraic group. In particular, a simple group in a coloured field is algebraic.
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https://hal.archives-ouvertes.fr/hal-00758982
Contributor : Frank Olaf Wagner Connect in order to contact the contributor
Submitted on : Monday, January 19, 2015 - 3:35:47 PM
Last modification on : Monday, June 28, 2021 - 2:26:07 PM
Long-term archiving on: : Monday, April 20, 2015 - 10:55:39 AM

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  • HAL Id : hal-00758982, version 5
  • ARXIV : 1211.7235

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Thomas Blossier, Amador Martin-Pizarro, Frank Olaf Wagner. A la recherche du tore perdu. The Journal of Symbolic Logic, Association for Symbolic Logic, 2016, 81 (1), pp.1-31. ⟨hal-00758982v5⟩

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