On Galois groups of local fields
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- by Kenkichi Iwasawa
- Trans. Amer. Math. Soc. 80 (1955), 448-469
- DOI: https://doi.org/10.1090/S0002-9947-1955-0075239-5
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References
- Emil Artin, Algebraic numbers and algebraic functions. I, New York University, Institute for Mathematics and Mechanics, New York, 1951. MR 0045767 M. Deuring, Algebren, Berlin, 1935.
- Helmut Hasse, Zahlentheorie, Akademie-Verlag, Berlin, 1949 (German). MR 0034400
- Kenkichi Iwasawa, On solvable extensions of algebraic number fields, Ann. of Math. (2) 58 (1953), 548–572. MR 0059314, DOI 10.2307/1969754
- Yukiyosi Kawada, On the structure of the Galois group of some infinite extensions. I, J. Fac. Sci. Univ. Tokyo Sect. I 7 (1954), 1–18. MR 62720 M. Krasner, Sur la représentation multiplicative dans les corps de nombres $P$-adiques relativement galoisiens, C. R. Acad. Sci. Paris vol. 203 (1936) pp. 907-908. —, Sur la représentation exponentielle dans les corps relativement galoisiens de nombres $P$-adiques, Acta Arithmetica vol. 3 (1939) pp. 133-173.
- I. Shafarevitch, On $p$-extensions, Rec. Math. [Mat. Sbornik] N.S. 20(62) (1947), 351–363 (Russian, with English summary). MR 0020546 H. Zassenhaus, Lehrbuch der Gruppentheorie I, Leipzig-Berlin, 1937.
Bibliographic Information
- © Copyright 1955 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 80 (1955), 448-469
- MSC: Primary 10.2X
- DOI: https://doi.org/10.1090/S0002-9947-1955-0075239-5
- MathSciNet review: 0075239