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Groupes algébriques semi-simples en dimension cohomologique ≤2 pp 143–148Cite as

Applications

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2238))

Abstract

Comme on l’a vu notamment avec les groupes classiques, l’application principale de la conjecture II de Serre est la classification des groupes algébriques semi-simples sur les corps correspondants. Nous passons ici en revue quelques applications et discutons des questions liées, la question d’injectivité de Serre et la question de Bogomolov sur la structure des groupes de Galois absolus. Dans chaque cas, une réponse positive permettrait de trancher le cas de E 8 pour la conjecture II.

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Authors and Affiliations

  1. Camille Jordan Institute, CNRS, Université Lyon 1, Villeurbanne, France

    Philippe Gille

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  1. Philippe Gille
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Gille, P. (2019). Applications. In: Groupes algébriques semi-simples en dimension cohomologique ≤2 . Lecture Notes in Mathematics, vol 2238. Springer, Cham. https://doi.org/10.1007/978-3-030-17272-5_9

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