Invariants cohomologiques des groupes de Coxeter finis

Abstract : This PhD thesis deals with cohomological invariants in Galois cohomology of finite Coxeter groups in characteristic zero. We first state a general vanishing principle for the cohomological invariants of a finite Coxeter group over a sufficiently large field of characteristic zero. We then use this principle to determine all the cohomological invariants of the Weyl groups of classical type with coefficients modulo 2 over a field of characteristic zero.
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Jerôme Ducoat. Invariants cohomologiques des groupes de Coxeter finis. Mathématiques générales [math.GM]. Université de Grenoble, 2012. Français. ⟨NNT : 2012GRENM052⟩. ⟨tel-00859840⟩

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