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On the Galois cohomology of the ring of integers in an algebraic number field. (English) Zbl 0188.35403


Keywords:

number theory
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[1] E. Artin, Kohomologie endlicher Gruppen, Lecture notes, Hamburg, 1957.
[2] -, Theory of algebraic numbers, Lecture notes, Goettingen, 1959.
[3] C. Chevalley, Class field theory, Nagoya University, Nagoya, 1954. · Zbl 0059.03304
[4] K. Hoechsmann, P. Roquette, and H. Zassenhaus, A cohomological characterization of finite nilpotent groups, Arch. Math. (Basel) 19 (1968), 225 – 244. · Zbl 0157.05603 · doi:10.1007/BF01899499
[5] Edwin Weiss, Algebraic number theory, McGraw-Hill Book Co., Inc., New York-San Francisco-Toronto-London, 1963. · Zbl 0115.03601
[6] Hideo Yokoi, On the ring of integers in an algebraic number field as a representation module of Galois group, Nagoya Math. J. 16 (1960), 83 – 90. · Zbl 0119.27703
[7] Hideo Yokoi, On an isomorphism of Galois cohomology groups \?^{\?}(\?,\?_{\?}) of integers in an algebraic number field, Proc. Japan Acad. 38 (1962), 499 – 501. · Zbl 0122.04303
[8] H. Yokoi, On the Galois cohomology group of the ring of integers in an algebraic number field, Acta Arith. 8 (1962/1963), 243 – 250. · Zbl 0122.04302
[9] Hideo Yokoi, A note on the Galois cohomology group of the ring of integers in an algebraic number field, Proc. Japan Acad. 40 (1964), 245 – 246. · Zbl 0143.06703
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