Infinite towers of Galois defect extensions of Kaplansky fields

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Infinite towers of Galois defect extensions of Kaplansky fields

Journal Title: Annales Mathematicae Silesianae - Year 2018, Vol 32, Issue

Abstract

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.

Authors and Affiliations

Anna Blaszczok

Keywords

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EP ID EP524645
DOI 10.1515/amsil-2017-0012
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