The of rings with many units
Annales scientifiques de l'École Normale Supérieure (1977)
- Volume: 10, Issue: 4, page 473-515
- ISSN: 0012-9593
Access Full Article
topHow to cite
topReferences
top- [1] M. ARTIN, 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).
- [2] M. AUSLANDER and O. GOLDMAN, The Brauer Group of a Commutative Ring (Trans. Amer. Math. Soc., Vol. 97, 1960, pp. 367-409). Zbl0100.26304MR22 #12130
- [3] N. BOURBAKI, Groupes et Algèbres de Lie, Fasc. 34, Chap. VI, Actualités Sc. Indust., N° 1337, Hermann, Paris, 1968. Zbl0186.33001
- [4] S. CHASE, D. HARRISON and A. ROSENBERG, Galois Theory and Galois Cohomology of Commutative Rings (Memoirs of the Amer. Math. Soc., Vol. 52, 1965, pp. 1-19). Zbl0143.05902MR33 #4118
- [5] C. CHEVALLEY, Certains schémas de groupes semi-simples (Séminaire Bourbaki, 13e année, 1960-1961, Exp. 219). Zbl0125.01705
- [6] R. K. DENNIS and M. R. STEIN, Injective Stability for K2 of Local Rings (Bull. Amer. Math. Soc., Vol. 80, 1974, pp. 1010-1013). Zbl0299.18007MR51 #8097
- [7] R. K. DENNIS and M. R. STEIN, 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). Zbl0271.18011MR50 #7292
- [8] R. K. DENNIS and M. R. STEIN, K2 of discrete valuation rings (Advances in Math., Vol. 18, 1975, pp. 182-238). Zbl0318.13017MR55 #10544
- [9] D. ESTES and J. OHM, Stable Range in Commutative Rings (J. Algebra, Vol. 7, 1967, pp. 343-362). Zbl0156.27303MR36 #147
- [10] J. E. HUMPHREYS, Linear Algebraic Groups (Graduate texts in math., Vol. 21, Springer, Berlin, 1975). Zbl0325.20039MR53 #633
- [11] W. VAN DER KALLEN, 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). Zbl0349.18009MR58 #22243
- [12] W. VAN DER KALLEN, H. MAAZEN and J. STIENSTRA, A Presentation for Some K2 (n, R) (Bull. Amer. Math. Soc., Vol. 81, 1975, pp. 934-936). Zbl0337.13012MR51 #12993
- [13] F. KEUNE, (t2-t)-Reciprocities on the Affine Line and Matsumoto's Theorem (Invent. Math., Vol. 28, 1975, pp. 185-192). Zbl0331.18017MR52 #13740
- [14] M. KNUS and M. OJANGUREN, A Norm for Modules and Algebras (Math. Z., Vol. 142, 1975, pp. 33-45). Zbl0297.13009MR51 #3139
- [15] M. KNUS et M. OJANGUREN, Théorie de la descente et algèbres d'Azumaya (Lecture Notes in Math., N° 389, Springer, Berlin, 1974). Zbl0284.13002MR54 #5209
- [16] H. MAAZEN and J. STIENSTRA, A Presentation for K2 of Split Radical Pairs (to appear in J. Pure and Appl. Algebra). Zbl0393.18013
- [17] H. MATSUMOTO, Sur les sous-groupes arithmétiques des groupes semi-simples déployés (Ann. scient. Ec. Norm. Sup. (4), N° 2, 1969, pp. 1-62). Zbl0261.20025MR39 #1566
- [18] J. MILNOR, Introduction to Algebraic K-Theory (Ann. Math. Studies, Vol. 72, Princeton University Press, Princeton, 1971). Zbl0237.18005MR50 #2304
- [19] M. R. STEIN, Generators, Relations and Coverings of Chevalley Groups Over Commutative Rings (Amer. J. Math., Vol. 93, 1971, pp. 965-1004). Zbl0246.20034MR48 #437
- [20] M. R. STEIN, Stability Theorems for K1, K2 and Related Functors Modelled on Chevalley Groups (to appear).
- [21] M. R. STEIN, Surjective Stability in Dimension 0 for K2 and Related Functors (Trans. Amer. Math. Soc., Vol. 178, 1973, pp. 165-191). Zbl0267.18015MR48 #6267
- [22] R. STEINBERG, Générateurs, relations et revêtements de groupes algébriques (Colloque sur la théorie des groupes algébriques, Bruxelles, 1962, pp. 113-127). Zbl0272.20036MR27 #3638
- [23] A. A. SUSLIN and M. S. TULENBAYEV, A stabilization Theorem for Milnor's K2 Functor [(Russian), Zapiski Naučnyh Seminarov LOMI, Tom. 64, Leningrad, 1976, pp. 131-152]. Zbl0356.18014
- [24] L. N. VASERSTEIN, 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)]. Zbl0239.16028MR44 #1701
- [25] L. N. VASERSTEIN, On the Stabilization of Milnor's K2 Functor [(Russian), Uspehi Mat. Nauk, Vol. 30, N° 1, 1975, p. 224]. Zbl0326.18009MR53 #8198