@article{ASENS_1977_4_10_4_473_0, author = {van der Kallen, Wilberd}, title = {The $K_2$ of rings with many units}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {473--515}, publisher = {Elsevier}, volume = {Ser. 4, 10}, number = {4}, year = {1977}, doi = {10.24033/asens.1334}, mrnumber = {58 #22018}, zbl = {0393.18012}, language = {en}, url = {http://www.numdam.org/articles/10.24033/asens.1334/} }
TY - JOUR AU - van der Kallen, Wilberd TI - The $K_2$ of rings with many units JO - Annales scientifiques de l'École Normale Supérieure PY - 1977 SP - 473 EP - 515 VL - 10 IS - 4 PB - Elsevier UR - http://www.numdam.org/articles/10.24033/asens.1334/ DO - 10.24033/asens.1334 LA - en ID - ASENS_1977_4_10_4_473_0 ER -
van der Kallen, Wilberd. The $K_2$ of rings with many units. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 10 (1977) no. 4, pp. 473-515. doi : 10.24033/asens.1334. http://www.numdam.org/articles/10.24033/asens.1334/
[1] Théorème de Weil sur la construction d'un groupe à partir d'une loi rationnelle, Schémas en Groupes II, SGA 3 (Lecture Notes in Math., N° 152, Springer, Berlin, 1970, pp. 632-653). | MR
,[2] The Brauer Group of a Commutative Ring (Trans. Amer. Math. Soc., Vol. 97, 1960, pp. 367-409). | MR | Zbl
and ,[3] Groupes et Algèbres de Lie, Fasc. 34, Chap. VI, Actualités Sc. Indust., N° 1337, Hermann, Paris, 1968. | Zbl
,[4] Galois Theory and Galois Cohomology of Commutative Rings (Memoirs of the Amer. Math. Soc., Vol. 52, 1965, pp. 1-19). | MR | Zbl
, and ,[5] Certains schémas de groupes semi-simples (Séminaire Bourbaki, 13e année, 1960-1961, Exp. 219). | EuDML | Numdam | MR | Zbl
,[6] Injective Stability for K2 of Local Rings (Bull. Amer. Math. Soc., Vol. 80, 1974, pp. 1010-1013). | MR | Zbl
and ,[7] The functor K2 : A Survey of Computations and Problems, Algebraic K-Theory II (Lecture Notes in Math., N° 342, Springer, Berlin, 1973, pp. 243-280). | MR | Zbl
and ,[8] K2 of discrete valuation rings (Advances in Math., Vol. 18, 1975, pp. 182-238). | MR | Zbl
and ,[9] Stable Range in Commutative Rings (J. Algebra, Vol. 7, 1967, pp. 343-362). | MR | Zbl
and ,[10] Linear Algebraic Groups (Graduate texts in math., Vol. 21, Springer, Berlin, 1975). | MR | Zbl
,[11] Injective Stability for K2, Algebraic K-Theory (Proceedings of the Northwestern conference 1976, Springer Lecture Notes in Math., N° 551, Springer, Berlin, 1976, pp. 77-154). | MR | Zbl
,[12] A Presentation for Some K2 (n, R) (Bull. Amer. Math. Soc., Vol. 81, 1975, pp. 934-936). | MR | Zbl
, and ,[13] (t2-t)-Reciprocities on the Affine Line and Matsumoto's Theorem (Invent. Math., Vol. 28, 1975, pp. 185-192). | MR | Zbl
,[14] A Norm for Modules and Algebras (Math. Z., Vol. 142, 1975, pp. 33-45). | MR | Zbl
and ,[15] Théorie de la descente et algèbres d'Azumaya (Lecture Notes in Math., N° 389, Springer, Berlin, 1974). | MR | Zbl
et ,[16] A Presentation for K2 of Split Radical Pairs (to appear in J. Pure and Appl. Algebra). | Zbl
and ,[17] Sur les sous-groupes arithmétiques des groupes semi-simples déployés (Ann. scient. Ec. Norm. Sup. (4), N° 2, 1969, pp. 1-62). | Numdam | MR | Zbl
,[18] Introduction to Algebraic K-Theory (Ann. Math. Studies, Vol. 72, Princeton University Press, Princeton, 1971). | MR | Zbl
,[19] Generators, Relations and Coverings of Chevalley Groups Over Commutative Rings (Amer. J. Math., Vol. 93, 1971, pp. 965-1004). | MR | Zbl
,[20] Stability Theorems for K1, K2 and Related Functors Modelled on Chevalley Groups (to appear).
,[21] Surjective Stability in Dimension 0 for K2 and Related Functors (Trans. Amer. Math. Soc., Vol. 178, 1973, pp. 165-191). | MR | Zbl
,[22] Générateurs, relations et revêtements de groupes algébriques (Colloque sur la théorie des groupes algébriques, Bruxelles, 1962, pp. 113-127). | MR | Zbl
,[23] A stabilization Theorem for Milnor's K2 Functor [(Russian), Zapiski Naučnyh Seminarov LOMI, Tom. 64, Leningrad, 1976, pp. 131-152]. | Zbl
and ,[24] Stable Rank of Rings and Dimensionality of Topological Spaces [Funkcional. Anal. i Prilozen, (2), N° 5, 1971, pp. 17-27 (Consultants Bureau Translation, 102-110)]. | MR | Zbl
,[25] On the Stabilization of Milnor's K2 Functor [(Russian), Uspehi Mat. Nauk, Vol. 30, N° 1, 1975, p. 224]. | MR | Zbl
,Cité par Sources :