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Infinite Towers of Galois Defect Extensions of Kaplansky Fields


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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
Idioma:
Inglés
Calendario de la edición:
2 veces al año
Temas de la revista:
Matemáticas, Matemáticas generales