On the congruence subgroup problem
Publications Mathématiques de l'IHÉS, Volume 46 (1976), pp. 107-161.
@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://archive.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://archive.numdam.org/item/PMIHES_1976__46__107_0/
LA  - en
ID  - PMIHES_1976__46__107_0
ER  - 
%0 Journal Article
%A Raghunathan, Madabusi S.
%T On the congruence subgroup problem
%J Publications Mathématiques de l'IHÉS
%D 1976
%P 107-161
%V 46
%I Institut des Hautes Études Scientifiques
%U http://archive.numdam.org/item/PMIHES_1976__46__107_0/
%G en
%F PMIHES_1976__46__107_0
Raghunathan, Madabusi S. On the congruence subgroup problem. Publications Mathématiques de l'IHÉS, Volume 46 (1976), pp. 107-161. http://archive.numdam.org/item/PMIHES_1976__46__107_0/

Bass (H.), Lazard (M.), Serre (J.-P.), 1. Sous-groupes d'indices finis dans SL(n, Z), Bull. Amer. Math. Soc., 70 (1964), 385-392. | MR | Zbl

Bass (H.), Milnor (J.), Serre (J.-P.), 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

Behr (H.), 1. Endliche Erzeugbarkeit arithmetischer Gruppen über Functionenkörpern, Inv. Math., 7 (1969), 1-32. | MR | Zbl

Bernstein (I. N.), Kazdan (D. A.), 1. The one dimensional cohomology of discrete groups, Functional Anal. Appl., 4 (1970), 1-4. | MR

Borel (A.), 1. Introduction aux groupes arithmétiques, Paris, Hermann, 1969. | MR | Zbl

Borel (A.) 2. Density properties of certain subgroups of semisimple groups, Ann. of Math., 72 (1960), 179-188. | MR | Zbl

Borel (A.), Tits (J.), 1. Groupes réductifs, Publ. Math. I.H.E.S., 27 (1965), 55-151. | Numdam | MR | Zbl

Borel (A.), Tits (J.) 2. Homomorphismes "abstraits" de groupes algébriques simples, Ann. of Math., 97 (1973), 499-571. | MR | Zbl

Chevalley (C.), 1. Deux théorèmes d'arithmétique, J. of Math. Soc. Japan, 3 (1951), 36-44. | MR | Zbl

Chevalley (C.) 2. Sur certains schémas de groupes semi-simples, Sém. Bourbaki, Exposé 219, New York, Benjamin, 1966. | Numdam

Chevalley (C.) 3. Sur certains groupes simples, Tohoku J. of Math. (2), 7 (1955), 14-62. | MR | Zbl

Delaroche (C.), Kirillov (A.), 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

Deodhar (V. V.), 1. On central extensions of rational points of algebraic groups (to appear). | Zbl

Dieudonné (J.), 1. La géométrie des groupes classiques, Berlin, Springer-Verlag, 1955. | MR | Zbl

Dieudonné (J.) 2. On the structure of unitary groups (II), Amer. J. Math., 75 (1953), 665-678. | MR | Zbl

Garland (H.), 1. p-adic curvature and the cohomology of discrete subgroups of p-adic groups, Ann. of Math., 97 (1973), 376-423. | MR | Zbl

Garland (H.), Raghunathan (M. S.), 1. Fundamental domains for lattices in (R-) rank one semisimple Lie groups, Ann. of Math., 92 (1970), 279-326. | MR | Zbl

Harder (G.), 1. Minkowskische Reductionstheorie über Functionenkörpern, Inv. Math., 7 (1969), 33-54. | MR | Zbl

Kazdan (D. A.), Connection on the dual space of a group with the structure of its closed subgroups, Functional Anal. Appl., 1 (1967), 63-65. | MR | Zbl

Kneser (M.), 1. Normal subgroups of integral orthogonal groups in algebraic K-theory and its geometric applications, Lecture Notes in Maths. 108, Berlin, Springer-Verlag. | Zbl

Lang (S.), 1. Algebraic groups over finite fields, Amer. J. of Math., 78 (1956), 555-563. | MR | Zbl

Margulis (G. A.), 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

Matsumoto (M.), 1. Sur les sous-groupes arithmétiques des groupes semisimples déployés, Ann. E.N.S. (4), 2 (1969), 1-62. | Numdam | Zbl

Mennicke (J.), 1. Finite factor groups of the unimodular group, Ann. of Math., 81 (1965), 31-37. | MR | Zbl

Mennicke (J.) 2. Zur theorie der Siegelsche Modulgruppe, Math. Ann., 159 (1965), 115-129. | MR | Zbl

Moore (C. C.), 1. Group extensions of p-adic and adelic linear groups, Publ. Math. I.H.E.S., 35 (1969), 5-70. | Numdam | Zbl

Platonov (V. P.), 1. The problem of strong approximation and the Kneser-Tits conjecture for algebraic groups, Math. USSR-Izvestiya, 3 (1969), 1139-1147. | Zbl

Platonov (V. P.) 2. Maximal arithmetic groups (to appear).

Platonov (V. P.) 3. To appear.

Raghunathan (M. S.), 1. Cohomology of arithmetic subgroups of algebraic groups: 1, Ann. of Math., 86 (1967), 409-424. | MR | Zbl

Raghunathan (M. S.) 2. Cohomology of arithmetic subgroups of algebraic groups: II, Ann. of Math., 87 (1968), 279-304. | MR | Zbl

Raghunathan (M. S.) 3. Discrete Subgroups of Lie groups, Berlin, Springer-Verlag, 1972. | MR | Zbl

Raghunathan (M. S.) 4. A note on the Kneser-Tits conjecture for global fields (to appear).

Serre (J.-P.), 1. Le problème des groupes de congruence pour SL2, Ann. of Math., 92 (1970), 489-527. | MR | Zbl

Serre (J.-P.) 2. Cohomologie des groupes discrets, in Prospects in Mathematics, Princeton, 1970.

Steinberg (R.), 1. Variations on a theme of Chevalley, Pacific J. of Math., 9 (1959), 875-891. | MR | Zbl

Steinberg (R.) 2. Générateurs, relations et revêtements de groupes algébriques, Colloque de Bruxelles (1962), 113-127. | MR | Zbl

Steinberg (R.) 3. Lectures on Chevalley groups, Yale University, 1968. | MR

Tits (J.), 1. Algebraic and abstract simple groups, Ann. of Math., 80 (1964), 313-329. | MR | Zbl

Tits (J.) 2. Classification of algebraic semisimple groups, Proc. Sympos. Pure Math., vol. 9, Amer. Math. Soc., 1966. | MR | Zbl

Vasserstein (L. I.), 1. Subgroups of finite index in Spin groups of rank 2 (Russian), Mat. Sbornik, 75 (1968), 178-184.

Wall (G. E.), 1. The structure of a unitary factor group, Publ. Math. I.H.E.S., 1 (1959). | Numdam | Zbl

Wang (S. P.), 1. The dual space of semisimple Lie groups, Amer. J. Math., 91 (1969), 921-937. | Zbl

Weil (A.), 1. Discrete subgroups of Lie groups, II, Ann. of Math., 75 (1962), 578-602. | MR | Zbl

Weil (A.) 2. Adèles and algebraic groups, Institute for Adv. Study, Princeton, 1961.

Weil (A.) 3. Remarks on the cohomology of groups, Ann. of Math., 80 (1964), 149-157. | MR | Zbl