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The Maximal p-Extension

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

Abstract

The maximal p-extension \(\hat k\) of a field k is the compositum (inside a fixed algebraic closure of k) of all finite p-extensions of k, i.e., of all normal (separable) extensions of k with p-power degree.

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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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