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Cohomological dimension of local fields. (English) Zbl 0255.12008
MSC:
11S25 Galois cohomology
11R34 Galois cohomology
13D05 Homological dimension and commutative rings
18G20 Homological dimension (category-theoretic aspects)
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References:
[1] Ax, J.: Proof of some conjectures on cohomological dimension. Proc. Amer. math. Soc.16, 1214-1221 (1965) · Zbl 0142.30001 · doi:10.1090/S0002-9939-1965-0188263-0
[2] Cassels, J.W.S., Fröhlich, Y.: Algebraic number theory. London-New York: Academic Press 1967 · Zbl 0153.07403
[3] Douady, A.: Détermination d’un groupe de Galois. C.r. Acad. Sci., Paris258, 5305-5308 (1964) · Zbl 0146.42105
[4] Greenberg, M.J.: Rational points in Henselian discrete valuation rings. Inst. haut. Étud. sci., Publ. math.31, 59-64, (1966) · Zbl 0146.42201 · doi:10.1007/BF02684802
[5] Hazewinkel: Corps de classe. Appendice in Demazure, M., Gabriel, P., Groupes algébriques Tome I, pp. 648-674. Paris: Masson & Cie. Amsterdam: North-Holland 1970
[6] Lang, S.: On quasi-algebraic closure. Ann. of Math. II. Ser.55, 373-390 (1952) · Zbl 0046.26202 · doi:10.2307/1969785
[7] Nagata, M.: Note on a paper of Lang concerning quasi-algebraic closure. Mem. Coll. Sci., Univ. Kyoto, Ser. A30, 237-241 (1957) · Zbl 0080.03102
[8] Serre, J.-P.: Cohomologie Galoisienne. Lecture Notes in Math. Nr. 5. Berlin-Heidelberg-New York: Springer 1964 · Zbl 0143.05901
[9] Serre, J.-P.: Corps locaux. Paris: Hermmann 1962 · Zbl 0137.02601
[10] Serre, J.-P.: Sur la dimension cohomologique des groupes profinis. Topology3, 413-420 (1965) · Zbl 0136.27402 · doi:10.1016/0040-9383(65)90006-6
[11] Zariski, O., Samuel, P.: Commutative Algebra I and II. Princeton: Van Nostrand 1958 · Zbl 0081.26501
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