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Group extensions of p-adic and adelic linear groups. (English) Zbl 0159.03203

Keywords:
group theory
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[1] American Mathematical Society,Notes on the Boulder Conference on Algebraic Groups and Discontinuous Subgroups, Summer 1965.
[2] E. Artin,Algebraic Number Theory (Notes byG. Wurges), Göttingen.
[3] – andJ. Tate,Class Field Theory (Harvard), 1961.
[4] —- andG. Whaples, Axiomatic characterization of fields by the product formula,Bull. Amer. Math. Soc., vol. 51 (1945), pp. 469–492. · Zbl 0060.08302
[5] —- andG. Whaples, A note on the axiomatic characterization of fields,Bull. Amer. Math. Soc., vol. 52 (1946), pp. 245–247. · Zbl 0060.08303
[6] L. Auslander andC. Moore, Unitary representations of solvable Lie groups,American Math. Soc., Memoir no 62 (1966). · Zbl 0204.14202
[7] S. Banach, Théorie des opérations linéaires,Monogr. Mat., t. I, Warsaw, 1932.
[8] H. Bass, M. Lazard andJ.-P. Serre, Sous-groupes d’indice fini dans SL (n,Z),Bull. Amer. Math. Soc., vol. 70 (1964), pp. 385–392. · Zbl 0232.20086
[9] H. Bass andJ. Milnor,On the congruence subgroup problem for SL n (n 3)and Sp n (n ) (Notes, Institute for Advanced Study). · Zbl 0211.04404
[10] H. Bass, J. Milnor andJ.-P. Serre,Solution of the congruence subgroup problem for SL n (n)and Sp n (n ),Inst. des Hautes Études Scient., no 33 (1967).
[11] A. Borel, Some finiteness properties of adèle groups over number fields,Inst. des Hautes Études Scient., no 16 (1963).
[12] – andJ. Tits, Groupes réductifs,Inst. des Hautes Études Scient., no 27 (1965).
[13] Bourbaki,Topologie générale, chap. IX, 2e éd., Paris, Hermann, 1958.
[14] F. Bruhat, Sur une classe de sous-groupes compacts maximaux des groupesp-adiques,Inst. des Hautes Études Scient., no 23 (1964).
[15] C. Chevalley, Sur certains groupes simples,Tôhoku Journal of Math. (2), vol. 7 (1955), pp. 14–62. · Zbl 0066.01503
[16] –, Sur certains schémas de groupes semi-simples,Séminaire Bourbaki, Exposé 219.
[17] S. Eilenberg andS. Mac Lane, Cohomology theory in abstract groups, I,Ann. of Math. (2), vol. 48 (1947), pp. 51–78. · Zbl 0029.34001
[18] —-, Cohomology theory in abstract groups, II,Ann. of Math. (2), vol. 48 (1947), pp. 326–341. · Zbl 0029.34101
[19] R. Godement, Groupes linéaires algébriques sur un corps parfait,Séminaire Bourbaki, Exposé 206.
[20] S. Helgason,Differential Geometry and Symmetric Spaces, New York, Academic Press, 1962. · Zbl 0111.18101
[21] G. Hochschild andJ.-P. Serre, Cohomology of group extensions,Trans. Amer. Math. Soc., vol. 74 (1953), pp. 110–134. · Zbl 0050.02104
[22] N. Iwahori andH. Matsumoto, On some Bruhat decomposition and the structure of the Hecke ring ofp-adic Chevalley groups,Inst. des Hautes Études Scient., no 25 (1965). · Zbl 0228.20015
[23] T. Kubota, Topological covering of SL(2) over a local field,Jour. Math. Soc. Japan, vol. 19 (1967), pp. 114–121. · Zbl 0166.29603
[24] M. Lazard, Groupes analytiquesp-adiques,Inst. des Hautes Études Scient., no 26 (1965).
[25] G. W. Mackey, Les ensembles boréliens et les extensions des groupes,J. Math. Pures et Appl., vol. 36 (1957), pp. 171–178. · Zbl 0080.02303
[26] —-, Borel structures in groups and their duals,Trans. Amer. Math. Soc., vol. 85 (1957), pp. 134–165. · Zbl 0082.11201
[27] J. Mennicke, Finite factor groups of the unimodular group,Ann. of Math (2), vol. 81 (1965), pp. 31–37. · Zbl 0135.06504
[28] —-, Zur Theorie der Siegelische Modulgruppe,Math. Ann., vol. 159 (1965), pp. 115–129. · Zbl 0134.26502
[29] D. Montgomery andL. Zippin,Topological transformation groups, Interscience, New York, 1955.
[30] C. C. Moore, Extensions and low dimensional cohomology theory of locally compact groups, I,Trans. Amer. Math. Soc., vol. 113 (1964), pp. 40–63. · Zbl 0131.26902
[31] —-, Extensions and low dimensional cohomology theory of locally compact groups, II,Trans. Amer. Math. Soc., vol. 113 (1964), pp. 63–86. · Zbl 0131.26902
[32] —-, Decomposition of unitary representations defined by discrete subgroups of nilpotent groups,Ann. of Math (2), vol. 82 (1965), pp. 146–182. · Zbl 0139.30702
[33] J.-P. Serre,Corps locaux, Paris, Hermann, 1962. · Zbl 0137.02601
[34] —-,Cohomologie galoisienne, Berlin, Springer, 1964. · Zbl 0143.05901
[35] I. Schur, über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen,J. Reine Angew. Math., vol. 127 (1904), pp. 20–50. · JFM 35.0155.01
[36] Séminaire “Sophus Lie{”, Paris, 1954.}
[37] A. Shapiro, Group extensions of compact Lie groups,Ann. of Math. (2), vol. 50 (1949), pp. 581–585. · Zbl 0033.34704
[38] Steenrod,Topology of Fiber Bundles, Princeton Univ. Press, Princeton, 1951. · Zbl 0054.07103
[39] R. Steinberg, Variations on a theme of Chevalley,Pacific J. of Math., vol. 9 (1959), pp. 875–891. · Zbl 0092.02505
[40] –,Générateurs, relations et revêtements de groupes algébriques, Colloque de Bruxelles (1962), pp. 113–127.
[41] A. Weil, Sur certains groupes d’opérateurs unitaires,Acta Math., vol. 111 (1964), pp. 143–211. · Zbl 0203.03305
[42] H. Matsumoto,Sur les sous-groupes arithmétiques des groupes semi-simples déployés, Thèse, Univ. de Paris, 1968.
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