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, Volume 55, Issue 1, pp 39–67 | Cite as

Immediate and purely wild extensions of valued fields

  • Franz -Viktor Kuhlmann
  • Matthias Pank
  • Peter Roquette


Kaplansky's hypothesis A concerning valued fields is put into a Galois theoretic setting. Accordingly, Kaplansky's theorem on maximal immediate extensions can be deduced from the Schur-Zassenhaus theorem about conjugacy of complements in profinite groups. Some generalization of Kaplansky's theory is given, concerning maximal purely wild extensions.


Number Theory Algebraic Geometry Topological Group Profinite Group Theoretic Setting 
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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Franz -Viktor Kuhlmann
    • 1
  • Matthias Pank
    • 1
  • Peter Roquette
    • 1
  1. 1.Mathematisches InstitutUniversität HeidelbergHeidelberg

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