$K_2$ et le groupe de Brauer

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1. [1] S.A. Amitsur, L.H. Rowen, J.-P. Tignol - Division algebras of degree 4 and 8 with involution, Israël J. of Maths.33(1979), 133-148. Zbl0422.16010MR571249
2. [2] H. Bass, T. Tate - The Milnor ring of a global field, Algebraic K-theory II, Springer, Lect. Notes in Maths.342(1973), 349-446. Zbl0299.12013MR442061
3. [3] S. Bloch - Torsion algebraic cycles, K2 and Brauer groups of function fields, Groupe de Brauer, Springer, Lect. Notes in Maths.844(1981), 75-102. Zbl0467.12011MR611866
4. [4] R. Brauer - On normal division algebras of index 5, Proc. Nat. Ac. of Sc.24 (1938), 243-246. Zbl0019.00206JFM64.0081.05
5. [5] J.-L. Colliot-Thélène - Hilbert's Theorem 90 for K2, with application to the Chow groups of rational surfaces, à paraître aux Inventiones. Zbl0527.14011
6. [6] J.-L. Colliot-Thélène, J.-J. Sansuc, C. Soulé - Quelques théorèmes de finitude en théorie des cycles algébriques, C.R.A.S., t. 294(28/6/1982), 749-752. Zbl0572.14005MR668576
7. [7] H. Gillet - Riemann-Roch Theorems for higher Algebraic K-theory, Adv. in Maths.40(1981), 203-289. Zbl0478.14010MR624666
8. [8] A. Grothendieck - Le groupe de Brauer III, dans "Dix exposés sur la cohomologie des schémas", Masson-North Holland, 1968. Zbl0198.25901
9. [9] A. Grothendieck et al. - SGA VI, Théorème de Riemann-Roch, Springer, Lect. Notes in Maths.225(1971). MR354655
10. [10] A.S. Merkurjev - On the norm residue symbol of degree 2, C.R.A.S. de l'URSS (Doklady) 261, n° 3(1981), 542-547. Zbl0496.16020
11. [11] A.S. Merkurjev, A.A. Suslin - K-cohomology of Severi-Brauer varieties and norm residue homomorphism, Izv. Acad. Sci. URSS46, n° 5(1982), 1011-1046 (en russe). Zbl0525.18008MR675529
12. [12] J. Milnor - Introduction to Algebraic K-theory, Annals of Maths. Studies72 (1971), Princeton Univ. Press. Zbl0237.18005MR349811
13. [13] D. Quillen - Algebraic K-theory I, Springer, Lect. Notes in Maths.341(1973), 85-147. Zbl0292.18004MR338129
14. [14] U. Rehmann - Zentrale Erweiterungen der speziellen lineare Gruppe eines Schiefkörpers, Journal f. d. r. u. a. Math.301(1978), 77-104. Zbl0377.20036MR506073
15. [15] U. Rehmann, U. Stuhler - On K2 of finite dimensional division algebras over arithmetical fields, Inv. Math.50, n° 1(1978), 75-90. Zbl0378.12012MR516605
16. [16] J.-P. Serre - Cohomologie galoisienne, Springer, Lect. Notes in Math.5. Zbl0812.12002
17. [17] J.-P. Serre - Corps locaux, Hermann, 1968. Zbl0137.02601MR354618
18. [18] V.V. Schechtman - Algebraic K-theory and characteristic classes, Usp. Mat. Nauk33, n° 6(1978), 239-240 Zbl0426.18006MR526037
19. [19] C. Soulé - K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale, Inv. Math.55(1979), 251-295. Zbl0437.12008MR553999
20. [20] A.A. Suslin - Torsion in K2 of fields, prépublication L.O.M.I. (1982). 
21. [21] J. Tate - Relations between K2 and Galois cohomology, Inv. Math.36(1976), 257-274. Zbl0359.12011MR429837
22. [22] F. Waldhausen - Algebraic K-theory of generalized free products, I et II, Annals of Maths.108(1978), 135-256. Zbl0407.18009MR498807
23. [23] Sh. Wang - On the commutator group of a simple algebra, Amer. J. of Maths.72(1950), 323-334. Zbl0040.30302MR34380

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