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manuscripta mathematica

, Volume 72, Issue 1, pp 155–161 | Cite as

K-groups and ideal class groups of number fields

  • Keiichi Komatsu
Article
  • 19 Downloads

Keywords

Prime Ideal Galois Group Number Field Finite Abelian Group Cyclic Extension 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    J. Coates,K-Theory and Iwasawa’s Analogue of the Jacobian, Lecture Notes in Math., Springer, 342 (1973), 502–520MathSciNetGoogle Scholar
  2. [2]
    J. Coates, The work of Mazur and Wiles on cyclotomic fields. Lecture Notes in Math., Springer, 901 (1981), 220–242MathSciNetGoogle Scholar
  3. [3]
    J. Coates and S. Lichtenbaum, Onl-adic zeta functions,Ann. of Math.,98 (1973), 498–550CrossRefMathSciNetGoogle Scholar
  4. [4]
    K. Komatsu,K-groups and λ-invariants of algebraic number fields,Tokyo J. Math.,11 (1988), 241–246zbMATHMathSciNetCrossRefGoogle Scholar
  5. [5]
    D. Quillen, Finite generation of the groupsK i of rings of algebraic integers, Lecture Notes in Math., Springer, 341 (1973), 179–198MathSciNetGoogle Scholar
  6. [6]
    L.C. Washington,Introduction to Cyclotomic Fields, Springer-Verlag, New York, 1982zbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Keiichi Komatsu
    • 1
  1. 1.Department of MathematicsTokyo University of Agriculture and TechnologyFuchu, TokyoJapan

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