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Infinite Towers of Galois Defect Extensions of Kaplansky Fields

   | 24 août 2018
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We give conditions for Kaplansky fields to admit infinite towers of Galois defect extensions of prime degree. As proofs of the presented facts are constructive, this provides examples of constructions of infinite towers of Galois defect extensions of prime degree. We also give a constructive proof of the fact that a henselian Kaplansky field cannot be defectless-by-finite.

eISSN:
2391-4238
ISSN:
0860-2107
Langue:
Anglais
Périodicité:
2 fois par an
Sujets de la revue:
Mathématiques, Mathématiques générales