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Calcul algébrique de l’homologie de certains groupes de matrices. (French) Zbl 0511.18014


MSC:

18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
20J05 Homological methods in group theory
20G35 Linear algebraic groups over adèles and other rings and schemes
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References:

[1] Bass, H., Algebraic \(K\)-theory (1968), Benjamin: Benjamin New York · Zbl 0174.30302
[2] Cartan, H.; Eilenberg, S., Homological algebra (1956), Princeton Univ. Press: Princeton Univ. Press Princeton, N. J · Zbl 0075.24305
[3] Dennis, R. K., In search of new “homology” functors having a close relationship to \(K\)-theory (1976), Cornell University, préprint
[4] Dennis, R. K., Algebraic \(K\)-theory and Hochschild homology, exposé (non publié), (Conf. Evanston (janvier 1976))
[7] Kassel, C., Un calcul d’homologie du groupe linéaire général, C.R. Acad. Sci. Paris, 288, 481-483 (1979) · Zbl 0411.20027
[8] Kassel, C., \(K\)-théorie relative d’un idéal bilatére de carré nul, (Conf. \(K\)-théorie alg.. Conf. \(K\)-théorie alg., Evanston. Conf. \(K\)-théorie alg.. Conf. \(K\)-théorie alg., Evanston, Lecture Notes in Math. No. 854 (1980), Springer-Verlag: Springer-Verlag Berlin/New York) · Zbl 0537.18006
[9] Kassel, C., Le groupe \(K_3(Z\)[ε]) n’a pas de \(p\)-torsion pour \(p\) ≠ 2 et 3, (Conf. \(k\)-th. alg.. Conf. \(k\)-th. alg., Oberwolfach. Conf. \(k\)-th. alg.. Conf. \(k\)-th. alg., Oberwolfach, Lecture Notes in Math. (1980), Springer-Verlag: Springer-Verlag Berlin/New York) · Zbl 0499.18016
[10] Kassel, C., Homologie du groupe linéaire général et \(K\)-théorie stable, (thése (juin 1981), Université de Strasbourg) · Zbl 0445.20020
[11] Kassel, C., Stabilisation de la \(K\)-théorie algébrique des espaces topologiques, Ann. Sci. École Norm. Sup. (Paris), 15 (1982) · Zbl 0515.18009
[12] Maazen, H.; Steinstra, J., A presentation for \(K_2\) of split radical pairs, J. Pure appl. Alg., 10, 271-294 (1977) · Zbl 0393.18013
[13] Milnor, J., Introduction to Algebraic \(K\)-Theory, (Ann. of Math. Studies No. 72 (1971), Princeton Univ. Press: Princeton Univ. Press Princeton, N. J) · Zbl 0237.18005
[15] Whitehead, J. H.C, A certain exact sequence, Ann. of Math., 52, 51-110 (1951) · Zbl 0037.26101
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