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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On Galois groups of local fields
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by Kenkichi Iwasawa PDF
Trans. Amer. Math. Soc. 80 (1955), 448-469 Request permission
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 reprĂ©sentation multiplicative dans les corps de nombres $P$-adiques relativement galoisiens, C. R. Acad. Sci. Paris vol. 203 (1936) pp. 907-908. —, Sur la reprĂ©sentation 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.
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Additional 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