@article{PMIHES_1976__46__107_0, author = {Raghunathan, Madabusi S.}, title = {On the congruence subgroup problem}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {107--161}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {46}, year = {1976}, mrnumber = {58 #22325}, zbl = {0347.20027}, language = {en}, url = {http://www.numdam.org/item/PMIHES_1976__46__107_0/} }
TY - JOUR AU - Raghunathan, Madabusi S. TI - On the congruence subgroup problem JO - Publications Mathématiques de l'IHÉS PY - 1976 SP - 107 EP - 161 VL - 46 PB - Institut des Hautes Études Scientifiques UR - http://www.numdam.org/item/PMIHES_1976__46__107_0/ LA - en ID - PMIHES_1976__46__107_0 ER -
Raghunathan, Madabusi S. On the congruence subgroup problem. Publications Mathématiques de l'IHÉS, Tome 46 (1976), pp. 107-161. http://www.numdam.org/item/PMIHES_1976__46__107_0/
1. Sous-groupes d'indices finis dans SL(n, Z), Bull. Amer. Math. Soc., 70 (1964), 385-392. | MR | Zbl
, , ,1. Solutions of the congruence subgroup problem for SL(n) (n≥3) and Sp(2n) (n≥2), Publ. Math. I.H.E.S., 33 (1967), 59-137. | Numdam | MR | Zbl
, , ,1. Endliche Erzeugbarkeit arithmetischer Gruppen über Functionenkörpern, Inv. Math., 7 (1969), 1-32. | MR | Zbl
,1. The one dimensional cohomology of discrete groups, Functional Anal. Appl., 4 (1970), 1-4. | MR
, ,1. Introduction aux groupes arithmétiques, Paris, Hermann, 1969. | MR | Zbl
,2. Density properties of certain subgroups of semisimple groups, Ann. of Math., 72 (1960), 179-188. | MR | Zbl
1. Groupes réductifs, Publ. Math. I.H.E.S., 27 (1965), 55-151. | Numdam | MR | Zbl
, ,2. Homomorphismes "abstraits" de groupes algébriques simples, Ann. of Math., 97 (1973), 499-571. | MR | Zbl
,1. Deux théorèmes d'arithmétique, J. of Math. Soc. Japan, 3 (1951), 36-44. | MR | Zbl
,2. Sur certains schémas de groupes semi-simples, Sém. Bourbaki, Exposé 219, New York, Benjamin, 1966. | Numdam
3. Sur certains groupes simples, Tohoku J. of Math. (2), 7 (1955), 14-62. | MR | Zbl
Sur les relations entre l'espace dual d'un groupe et la structure de ses sous-groupes fermés (d'après D. A. Kazdan), Sém. Bourbaki 1967/1968, Exposé 343, New York, Benjamin, 1969. | Numdam | Zbl
, ,1. On central extensions of rational points of algebraic groups (to appear). | Zbl
,1. La géométrie des groupes classiques, Berlin, Springer-Verlag, 1955. | MR | Zbl
,2. On the structure of unitary groups (II), Amer. J. Math., 75 (1953), 665-678. | MR | Zbl
1. p-adic curvature and the cohomology of discrete subgroups of p-adic groups, Ann. of Math., 97 (1973), 376-423. | MR | Zbl
,1. Fundamental domains for lattices in (R-) rank one semisimple Lie groups, Ann. of Math., 92 (1970), 279-326. | MR | Zbl
, ,1. Minkowskische Reductionstheorie über Functionenkörpern, Inv. Math., 7 (1969), 33-54. | MR | Zbl
,Connection on the dual space of a group with the structure of its closed subgroups, Functional Anal. Appl., 1 (1967), 63-65. | MR | Zbl
,1. Normal subgroups of integral orthogonal groups in algebraic K-theory and its geometric applications, Lecture Notes in Maths. 108, Berlin, Springer-Verlag. | Zbl
,1. Algebraic groups over finite fields, Amer. J. of Math., 78 (1956), 555-563. | MR | Zbl
,1. Discrete Groups of Motions of manifolds of non-positive curvature (en russe), Proc. Intern. Congress of Math., Vancouver 1974, vol. 2, 21-34. | Zbl
,1. Sur les sous-groupes arithmétiques des groupes semisimples déployés, Ann. E.N.S. (4), 2 (1969), 1-62. | Numdam | Zbl
,1. Finite factor groups of the unimodular group, Ann. of Math., 81 (1965), 31-37. | MR | Zbl
,2. Zur theorie der Siegelsche Modulgruppe, Math. Ann., 159 (1965), 115-129. | MR | Zbl
1. Group extensions of p-adic and adelic linear groups, Publ. Math. I.H.E.S., 35 (1969), 5-70. | Numdam | Zbl
,1. The problem of strong approximation and the Kneser-Tits conjecture for algebraic groups, Math. USSR-Izvestiya, 3 (1969), 1139-1147. | Zbl
,2. Maximal arithmetic groups (to appear).
3. To appear.
1. Cohomology of arithmetic subgroups of algebraic groups: 1, Ann. of Math., 86 (1967), 409-424. | MR | Zbl
,2. Cohomology of arithmetic subgroups of algebraic groups: II, Ann. of Math., 87 (1968), 279-304. | MR | Zbl
3. Discrete Subgroups of Lie groups, Berlin, Springer-Verlag, 1972. | MR | Zbl
4. A note on the Kneser-Tits conjecture for global fields (to appear).
1. Le problème des groupes de congruence pour SL2, Ann. of Math., 92 (1970), 489-527. | MR | Zbl
,2. Cohomologie des groupes discrets, in Prospects in Mathematics, Princeton, 1970.
1. Variations on a theme of Chevalley, Pacific J. of Math., 9 (1959), 875-891. | MR | Zbl
,2. Générateurs, relations et revêtements de groupes algébriques, Colloque de Bruxelles (1962), 113-127. | MR | Zbl
3. Lectures on Chevalley groups, Yale University, 1968. | MR
1. Algebraic and abstract simple groups, Ann. of Math., 80 (1964), 313-329. | MR | Zbl
,2. Classification of algebraic semisimple groups, Proc. Sympos. Pure Math., vol. 9, Amer. Math. Soc., 1966. | MR | Zbl
1. Subgroups of finite index in Spin groups of rank 2 (Russian), Mat. Sbornik, 75 (1968), 178-184.
,1. The structure of a unitary factor group, Publ. Math. I.H.E.S., 1 (1959). | Numdam | Zbl
,1. The dual space of semisimple Lie groups, Amer. J. Math., 91 (1969), 921-937. | Zbl
,1. Discrete subgroups of Lie groups, II, Ann. of Math., 75 (1962), 578-602. | MR | Zbl
,2. Adèles and algebraic groups, Institute for Adv. Study, Princeton, 1961.
3. Remarks on the cohomology of groups, Ann. of Math., 80 (1964), 149-157. | MR | Zbl