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On p-Class Groups and p-Class Field Towers

  • Helmut Koch
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

Now we apply the results of Chapter 11 to the p-class group, i.e., the p-Sylow subgroup of the ideal class group, and to the p-class field tower, that is, the maximal unramified p-extension. We restrict ourselves to algebraic number fields.

Keywords

Normal Subgroup Class Number Minimal System Class Field Theory 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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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Helmut Koch
    • 1
  1. 1.Institut für MathematikHumboldt-Universität BerlinBerlinGermany

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