Journal of the Ramanujan Mathematical Society

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Type Des Tores Maximaux Des Groupes Semi-Simples


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1 Philippe Gille, UMR 8628 Du C.N.R.S., Mathematiques, Batiment 425, Universite De Paris-Sud, F-91405 Orsay, France
     

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Let G/k be a semisimple algebraic group defined over a field k with separable closure ks. Let T a maximal k-torus of G. The Galois action on the ischolar_main system Φ(Gks,Tks) provides an invariant in Galois cohomology, we call it the type of T in G. We show that all possible type occur for maximal tori of quasi-split semisimple groups.
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  • Type Des Tores Maximaux Des Groupes Semi-Simples

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Authors

P. Gille
Philippe Gille, UMR 8628 Du C.N.R.S., Mathematiques, Batiment 425, Universite De Paris-Sud, F-91405 Orsay, France

Abstract


Let G/k be a semisimple algebraic group defined over a field k with separable closure ks. Let T a maximal k-torus of G. The Galois action on the ischolar_main system Φ(Gks,Tks) provides an invariant in Galois cohomology, we call it the type of T in G. We show that all possible type occur for maximal tori of quasi-split semisimple groups.