Coxeter Orbits and Brauer Trees II

Olivier Dudas

Type: Article

Publication Date: 2013-04-14

Citations: 10

DOI: https://doi.org/10.1093/imrn/rnt070

Abstract

The purpose of this paper is to discuss the validity of the assumptions (W) and (S) stated in a previous work, about the torsion in the modular l-adic cohomology of Deligne-Lusztig varieties associated to Coxeter elements. We prove that both (W) and (S) hold except for groups of type E_7 or E_8.

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+	The Brauer trees of the exceptional Chevalley groups of typeE 6	1995	Gerhard Hiß Frank Lübeck Gunter Malle
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+	The Brauer trees of the exceptional Chevalley groups of types F 4 and 2 E 6	1998	Gerhard Hiß Frank L�beck
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+	Sur certains éléments réguliers des groupes de Weyl et les variétés de Deligne—Lusztig associées	1997	Michel Broué Jean Michel
+	Théorèmes de Sylow génériques pour les groupes réductifs sur les corps finis	1992	Michel Broué Gunter Malle