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Collected Papers

  • Book
  • © 2001

Overview

Editors:
  1. Ichiro Satake

    1. University of California, Berkeley, USA
      Tohoku University, Japan

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  2. Genjiro Fujisaki

    1. University of Tokyo, Japan

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  3. Kazuya Kato

    1. University of Tokyo, Japan

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  4. Masato Kurihara

    1. Tokyo Metropolitan University, Japan

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  5. Shoichi Nakajima

    1. Gakushuin University, Japan

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Part of the book series: Springer Collected Works in Mathematics (SCWM)

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Keywords

About this book

Kenkichi Iwasawa was one of the most original and influential mathematicians of the twentieth century. He made a number of fundamental contributions in group theory and algebraic number theory. In group theory, he created the theory of (L)-groups (including the structure theorem called "Iwasawa decomposition"), which played an important role in the solution of Hilbert's Fifth Problem. In number theory, he constructed a beautiful theory on Zp-extensions, now called "Iwasawa theory", realizing the deep analogy between number fields and algebraic function fields. Iwasawa theory has had a strong influence on the recent development of arithmetic algebraic geometry, including the solution of Fermat's Last Theorem. This volume of the collected papers of K. Iwasawa contains all 66 of his published papers, including 11 papers in Japanese, for which English abstracts by the editors are attached. In addition, the volume contains 5 papers unpublished until 2001. Also included is a masterly summary of Iwasawa theory by J. Coates (The University of Cambridge).

Editors and Affiliations

  • University of California, Berkeley, USA

    Ichiro Satake

  • Tohoku University, Japan

    Ichiro Satake

  • University of Tokyo, Japan

    Genjiro Fujisaki, Kazuya Kato

  • Tokyo Metropolitan University, Japan

    Masato Kurihara

  • Gakushuin University, Japan

    Shoichi Nakajima

Bibliographic Information

  • Book Title: Collected Papers

  • Editors: Ichiro Satake, Genjiro Fujisaki, Kazuya Kato, Masato Kurihara, Shoichi Nakajima

  • Series Title: Springer Collected Works in Mathematics

  • Publisher: Springer Tokyo

  • Copyright Information: Springer 2001

  • Softcover ISBN: 978-4-431-55055-6Published: 20 May 2015

  • Series ISSN: 2194-9875

  • Series E-ISSN: 2194-9883

  • Edition Number: 1

  • Number of Pages: XXV, 872

  • Number of Illustrations: 3 b/w illustrations

  • Topics: Number Theory, Algebraic Geometry

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