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Die Kohomologie S-arithmetischer Gruppen über Funktionenkörpern. (German) Zbl 0391.20036


MSC:

20G30 Linear algebraic groups over global fields and their integers
20J05 Homological methods in group theory
18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
11R58 Arithmetic theory of algebraic function fields
11T55 Arithmetic theory of polynomial rings over finite fields
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References:

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[2] Borel, A.: Cohomologie de certain groupes discrets et laplacienp-adique. Sém. Bourbaki, vol. 1973/74, Exp. 437, Springer Lecture Notes 431
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[4] Borel, A., Serre, J.P.: Corners and arithmetic groups. Comm. Math. Helv.48, 244-297 (1974)
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[10] Eilenberg, Steenrod: Foundations of algebraic topology. Princeton: University Press 1952 · Zbl 0047.41402
[11] Garland, H.:p-adic curvature and the cohomology of discrete subgroups. Ann. of Math. (2)97, 375-423 (1973) · Zbl 0262.22010
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[13] Godement, R.: Topologie algébrique et théorie des faisceaux. Paris: Hermann 1958 · Zbl 0080.16201
[14] Harder, G.: Halbeinfache Gruppenschemata über Dedekindringen. Inv. Math.4, 165-191 (1967) · Zbl 0158.39502
[15] Harder, G.: Halbeinfache Gruppenschemata über vollständigen Kurven. Inv. Math.6, 107-149 (1968) · Zbl 0186.25902
[16] Harder, G.: Minkowskische Reduktionstheorie über Funktionenkörpern. Inv. Math.7, 33-54 (1968) · Zbl 0242.20046
[17] Harder, G.: A Gauss-Bonnet formula for discrete arithmetically defined groups. Ann. scient. de l’École Normale Supérieure, t.4, fasc. 3, 1971, 409-455 · Zbl 0232.20088
[18] Harder, G.: Chevalley groups over function fields and automorphic forms. Ann. of Math., vol 100, No. 2 1974, 249-306 · Zbl 0309.14041
[19] Schwerdtfeger, B.: Dissertation, Bonn 1977
[20] Serre, J.P.: Cohomologie des groupes discrets. Prospects in Mathematics, Ann. of Math. Studies, Nr. 70, Princeton University Press, Princeton, N.J., 1970 · Zbl 0229.57016
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