Resumen de On the Brauer group of a semisimple algebraic group

Stefan Gille

• Let k be a field with algebraic closure , G a semisimple algebraic k-group, and a maximal torus with character group . Denote ? the abstract weight lattice of the roots system of G, and by and the n-torsion subgroup of the Brauer group of k and G, respectively. We prove that if chark does not divide n and n is prime to the order of then the natural homomorphism is an isomorphism.