|DATE DE PUBLICATION||2017-Aug-10|
|TAILLE DU FICHIER||10,35 MB|
2 Central simple algebras and Galois descent 17 2.1 Wedderburn's theorem 17 2.2 Splitting fields 20 2.3 Galois descent 24 2.4 The Brauer group 29 2.5 Cyclic algebras 33 2.6 Reduced norms and traces 37 2.7 A basic exact sequence 40 2.8 K\ of central simple algebras 42 3 Techniques from group cohomology 50 3.1 Definition of cohomology groups 50
Galois Cohomology John Tate1 I thank Helena Verrill and William Stein for their help in getting this account of my talks at Park City into print. After Helena typed up her original notes of the talks, William was a great help with the editing, and put them in the canonical format for this volume. The somewhat ine cient organization of this account is mainly a result of the fact that, after the ...