@article{PMIHES_1996__84__91_0, author = {Prasad, Gopal and Rapinchuk, Andrei S.}, title = {Computation of the metaplectic kernel}, journal = {Publications Math\'ematiques de l'IH\'ES}, volume = {84}, year = {1996}, pages = {91-187}, mrnumber = {98i:22026}, zbl = {0941.22019}, language = {en}, url = {http://dml.mathdoc.fr/item/PMIHES_1996__84__91_0} }
Prasad, Gopal; Rapinchuk, Andrei S. Computation of the metaplectic kernel. Publications Mathématiques de l'IHÉS, Tome 84 (1996) pp. 91-187. http://gdmltest.u-ga.fr/item/PMIHES_1996__84__91_0/
[1] Class Field Theory, New York, Benjamin, 1974.
and ,[2] Le problème de sous-groupes congruence et le problème métaplectique pour les groupes classiques de rang > 1, C. R. Acad. Sci. Paris, 292 (1981), 307-310. | MR 82b:12009 | Zbl 0461.20031
,[3] The congruence subgroup and metaplectic problems for SLn ≥ 2 of division algebras, J. Algebra, 78 (1982), 475-547. | MR 85j:11041 | Zbl 0495.20022
and ,[4] Groupes réductifs, Publ. Math. I.H.E.S., 27 (1965), 55-150. | Numdam | MR 34 #7527 | Zbl 0145.17402
and ,[5] Compléments à l'article “Groupes réductifs”, Publ. Math. I.H.E.S., 41 (1972), 253-276. | Numdam | MR 47 #3556 | Zbl 0254.14018
and ,[6] Topologie générale, Ch. 3-4, Paris, Hermann, 1960.
,[7] Groupes et algèbres de Lie, Ch. 4-6, Paris, Hermann, 1968.
,[8] Algebraic number theory (Proc. Instructional Conf., Brighton, 1965), London, Academic Press, and Washington, D. C., Thompson, 1967. | Zbl 0153.07403
and (editors),[9] Extensions centrales non résiduellement finies de groupes arithmétiques, C. R. Acad. Sci. Paris, 287 (1978), 203-208. | MR 80g:20056 | Zbl 0416.20042
,[10] Extensions centrales de groupes algébriques simplement connexes et cohomologie galoisienne, Publ. Math. I.H.E.S., 84 (1996), 35-89. | Numdam | MR 98d:14056 | Zbl 0930.20043
,[11] On central extensions of rational points of algebraic groups, Amer. J. Math., 100 (1978), 303-386. | MR 80c:20058 | Zbl 0392.20027
,[12] Über die Galoiskohomologie halbeinfacher algebraischer Gruppen, J. reine und angew. Math., 274-275 (1975), 125-138. | MR 52 #3352 | Zbl 0317.14025
,[13] Differential Geometry and Symmetric Spaces, New York, Academic Press, 1962. | MR 26 #2986 | Zbl 0111.18101
,[14] Metaplectic Forms, Publ. Math. I.H.E.S., 59 (1984), 35-142. | Numdam | MR 85g:22033 | Zbl 0559.10026
and ,[15] Metaplektische Erweiterungen von Quaternionenschiefkörpern, Math. Z., 193 (1986), 625-649. | MR 88c:11068 | Zbl 0607.12006
,[16] Groupes analytiques p-adiques, Publ. Math. I.H.E.S., 26 (1965), 5-219. | Numdam | MR 35 #188 | Zbl 0139.02302
,[17] Subgroup growth and congruence subgroups, Invent. Math., 119 (1995), 267-295. | MR 95m:20054 | Zbl 0848.20036
,[18] Finiteness of quotient groups of discrete groups, Funct. Anal. Appl., 13 (1979), 178-187. | MR 80k:22006 | Zbl 0434.22013
,[19] On the multiplicative group of a quaternion algebra over a global field, Soviet Math. Dokl., 21 (1980), 780-784. | MR 81k:12018 | Zbl 0503.12011
,[20] Les ensembles boréliens et les extensions des groupes, J. Math. Pures Appl., 36 (1957), 171-178. | MR 19,752a | Zbl 0080.02303
,[21] Sur les sous-groupes arithmétiques des groupes semi-simples déployés, Ann. Sci. École Norm. Sup., 2 (1969), 1-62. | Numdam | MR 39 #1566 | Zbl 0261.20025
,[22] Group extensions of p-adic and adelic linear groups, Publ. Math. I.H.E.S., 35 (1968), 5-70. | Numdam | MR 39 #5575 | Zbl 0159.03203
,[23] On the group of rational points of three-dimensional groups, Soviet Math. Dokl., 20 (1979), 693-697. | MR 81a:12014 | Zbl 0431.12012
and ,[24] Algebraic Groups and Number Theory, “Pure and Applied Mathematics” series, Vol. 139, New York, Academic Press, 1993. | MR 95b:11039 | Zbl 0841.20046
and ,[25] Abstract properties of S-arithmetic groups and the congruence subgroup problem, Russian Acad. Sci. Izv. Math., 40 (1993), 455-476. | MR 93i:20052 | Zbl 0785.20025
and ,[26] Associative Algebras, Heidelberg, Springer Verlag, 1982. | MR 84c:16001 | Zbl 0497.16001
,[27] A variant of a theorem of Calvin Moore, C. R. Acad. Sci. Paris, 302 (1986), 405-408. | MR 87d:11089 | Zbl 0586.20024
,[28] Semi-simple groups and arithmetic subgroups, Proc. ICM-90 (Kyoto), Vol. II, 821-832. | MR 93c:22019 | Zbl 0749.20027
,[29] On the congruence subgroup problem : Determination of the metaplectic kernel, Invent. Math., 71 (1983), 21-42. | MR 84f:20051 | Zbl 0517.20021
and ,[30] Topological central extensions of semi-simple groups over local fields, Ann. Math., 119 (1984), 143-268. | MR 86e:20051a | Zbl 0552.20025
and ,[31] On the Kneser-Tits problem, Comment. Math. Helv., 60 (1985), 107-121. | MR 86g:20061 | Zbl 0574.20033
and ,[32] Topological central extensions of SL1(D), Invent. Math., 92 (1988), 645-689. | MR 89e:22018 | Zbl 0701.20024
and ,[33] Torsion in cocompact lattices in coverings of Spin(2, n), Math. Ann., 266 (1984), 403-419. | MR 86k:22027 | Zbl 0513.22008
,[34] On the group of norm 1 elements in a division algebra, Math. Ann., 279 (1988), 457-484. | MR 89g:11111 | Zbl 0639.20026
,[35] The congruence subgroup problem, Proc. Hyderabad Conf. on Algebraic Groups (ed. by S. Ramanan with the cooperation of C. Musili and N. M. Kumar), Manoj Prakashan, 1991, 465-494. | MR 92i:20048 | Zbl 0819.20054
,[36] Multiplicative arithmetic of division algebras over number fields and the metaplectic problem, Math. USSR Izvestiya, 31 (1988), 349-379. | MR 89h:11074 | Zbl 0678.20031
,[37] Combinatorial theory of arithmetic groups, Preprint of the Institute of Mathematics, Acad. Sci. of Belarus (Minsk), No. 20 (420), 1990.
,[38] Congruence subgroup problem for algebraic groups : old and new, Astérisque, 209 (1992), 73-84. | MR 94b:20047 | Zbl 0805.20040
,[39] The norm 1 group of p-adic division algebra, Amer. J. Math., 92 (1970), 499-523. | MR 41 #6860 | Zbl 0199.37601
,[40] Cohomologie galoisienne, Lect. Notes Math., No. 5, Heidelberg, Springer Verlag, 1994. | MR 96b:12010 | Zbl 0812.12002
,[41] Local Fields, Heidelberg, Springer Verlag, 1995.
,[42] Lie Algebras and Lie Groups, Lect. Notes Math., No. 1500, Heidelberg, Springer Verlag, 1992. | MR 93h:17001 | Zbl 0742.17008
,[43] Quadratic and hermitian forms, Heidelberg, Springer Verlag, 1985. | MR 86k:11022 | Zbl 0584.10010
,[44] Congruence subgroup problem for anisotropic groups over semi-local rings, Proc. Indian Acad. Sci., 101 (1991), 87-110. | MR 93d:11042 | Zbl 0747.20023
,[45] Commutators in the special and general linear groups, Trans. A.M.S., 101 (1961), 16-33. | MR 24 #A771 | Zbl 0109.26002
,[46] Classification of algebraic semisimple groups, Algebraic Groups and Discontinuous Subgroups, Proc. Symp. Pure Math., Vol. 9, Amer. Math. Soc., Providence, R. I., 1966, 33-62. | MR 37 #309 | Zbl 0238.20052
,[47] Projective varieties with non-residually finite fundamental group, Publ. Math. I.H.E.S., 77 (1993), 103-119. | Numdam | MR 94k:14008 | Zbl 0818.14009
,[48] On Grunwald-Wang's theorem, J. reine und angew. Math., 389 (1988), 209-220. | MR 89f:11158 | Zbl 0638.12004
,[49] Semi-simple algebraic groups splitting over a quadratic extension, Math. USSR Izvestiya, 5 (1971), 57-73. | Zbl 0252.20035
,[50] Algebraic cohomology of topological groups, Trans. A.M.S., 178 (1973), 83-93. | MR 49 #2898 | Zbl 0264.22001
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