Published Online: Aug 24, 2018
Page range: 65 - 78
Received: Apr 01, 2017
Accepted: Nov 08, 2017
DOI: https://doi.org/10.1515/amsil-2017-0012
Keywords
© 2018 Anna Blaszczok, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.