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References
Bak, A.: Le problème des sous-groupes de congruence et le problème métaplectique pour les groupes classiques de rang >1. C.R. Acad. Sc. Paris292, 307–310 (1981)
Bak, A., Rehmann, U.: The congruence subgroup and metaplectic problems forSL n≧2of division algebras, preprint
Bass, H., Milnor, J., Serre, J.-P.: Solution of the congruence subgroup problem forSL n andSp 2n . Publ. Math. I.H.E.S.33, 59–137 (1967)
Borel, A., Tits, J.: Groupes réductifs. Publ. Math. I.H.E.S.27, 55–151 (1965)
Borel, A., Tits, J.: Homomorphismes “abstraits” de groupes algébriques simples. Ann. of Math.97, 499–571 (1973)
Bourbaki, N.: Algèbre Chapitre 8: Modules et anneaux semi-simples. Paris: Hermann 1958
Bourbaki, N.: Intégration, Chapitre 7 (Appendice 1). Paris: Hermann 1963
Deodhar, V.: On central extensions of rational points of algebraic groups. American J. Math.100, 303–386 (1978)
Delaroche, C., Kirilov, A.: Sur les relations entre l'espace dual d'un groupe et la structure des ses sous-groupes fermés, Séminaire Bourbaki, exposé343 (1967/68)
Griess, R., Jr.: Schur multipliers of finite simple groups of Lie type. Trans. A.M.S.183, 355–421 (1973)
Heilbronn, H.: Zeta-Functions andL-Functions: In Algebraic Number Theory. (Cassels, J.W.S., Fröhlich, A. (eds.). London: Academic Press 1967
Kneser, M.: Orthogonale Gruppen über algebraischen Zahlkörpern. Crelle's J.196, 213–220 (1956)
Kneser, M.: Normalteiler ganzzahliger Spingruppen. Crelle's J.311/312, 191–214 (1979)
Matsumoto, H.: Sur les sous-groupes arithmétique des groupes semi-simple déployés. Ann. Scient. E. Norm. Sup., 4th Series,2, 1–62 (1969)
Margulis, G.A.: Cobounded subgroups in algebraic groups over local fields. Functional. Anal. Appl.11, 45–57 (1977)
Margulis, G.A.: Quotient groups of discrete subgroups and measure theory. Functional Anal. Appl.12, 64–76 (1978)
Margulis, G.A.: Quotient groups of discrete subgroups and measure theory. Functional Anal. Appl.13, 28–39 (1979)
Mennicke, J.: Finite factor groups of the unimodular group. Ann. of Math.81, 31–37 (1965)
Mennicke, J.: Zur Theorie der Siegelsche Modulgruppe. Math. Ann.159, 115–129 (1965)
Moore, C.C.: Group extensions ofp-adic and adelic linear groups. Publ. Math. I.H.E.S.35, 5–70 (1969)
Prasad, G.: Strong approximation for semi-simple groups. Ann. of Math.105, 553–572 (1977)
Prasad, G.: Tame component of the Schur multipliers of finite groups of Lie type. J. of Alg. in press (1983)
Prasad, G., Raghunathan, M.S.: Central extensions of rational points of groups over local fields.
Raghunathan, M.S.: On the congruence subgroup problem. Publ. Math. I.H.E.S.46, 107–161 (1976)
Serre, J.-P.: Corps Locaux, Paris: Hermann 1968
Steinberg, R.: Generators, relations, and coverings of algebraic groups, II. J. of Alg.71, 527–543 (1981)
Tits, J.: Classification of Algebraic semi-simple groups. Proc. Symp in pure Math. A.M.S.9, 33–62 (1966)
Vaserstein, L.N.: The structure of classical arithmetic groups of rank greater than one, Math. of USSR Sbornik.20, 465–492 (1973)
Weil, A.: Basic Number Theory. Berlin-Heidelberg-New York: Springer 1967
Wigner, D.: Algebraic cohomology of topological groups. Trans. A.M.S.178, 83–93 (1973)
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Prasad, G., Raghunathan, M.S. On the congruence subgroup problem: Determination of the “metaplectic kernel”. Invent Math 71, 21–42 (1983). https://doi.org/10.1007/BF01393337
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DOI: https://doi.org/10.1007/BF01393337