Ramification Groups

  • Jean-Pierre Serre
Part of the Graduate Texts in Mathematics book series (GTM, volume 67)


Throughout this chapter, K denotes a field complete under a discrete valuation vK. The corresponding valuation ring is denoted AK, its maximal ideal PK, its residue field and UK = AK - pK the multiplicative group of invertible elements of AK.


Normal Subgroup Galois Group Valuation Ring Invertible Element Galois Extension 
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Copyright information

© Springer Science+Business Media New York 1979

Authors and Affiliations

  • Jean-Pierre Serre
    • 1
  1. 1.Collège de FranceParisFrance

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