Arithmétique des sous-groupes de Bruhat-Tits sur un anneau de valuation discrète hensélien

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1. Verfasser: Zidani, Anis
Format: Preprint
Veröffentlicht: 2025
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author Zidani, Anis
author_facet Zidani, Anis
contents 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 "à 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_17929
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Arithmétique des sous-groupes de Bruhat-Tits sur un anneau de valuation discrète hensélien
Zidani, Anis
Group Theory
Algebraic Geometry
20G10, 20G15, 14L10, 14L15
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 "à 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.
title Arithmétique des sous-groupes de Bruhat-Tits sur un anneau de valuation discrète hensélien
topic Group Theory
Algebraic Geometry
20G10, 20G15, 14L10, 14L15
url https://arxiv.org/abs/2509.17929