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Arithmétique des sous-groupes de Bruhat-Tits sur un anneau de valuation discrète hensélien (2509.17929v1)
Published 22 Sep 2025 in math.GR and math.AG
Abstract: The goal of this paper is to refine some aspects of the cohomological study of Bruhat-Tits subgroups. It aims to complement the work done in the 1987 article. As an application, we obtain a result "`a la Grothendieck-Serre" for Bruhat-Tits subgroups of a semisimple simply connected group and the exact calculation of the obstruction in the case of quasi-split adjoint groups.
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