On p-Class Groups and p-Class Field Towers

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


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.


Normal Subgroup Class Number Minimal System Class Field Theory Cyclic Extension 
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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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