Infinite Towers of Galois Defect Extensions of Kaplansky Fields

Anna Blaszczok
2018 Annales Mathematicae Silesianae  
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.
doi:10.1515/amsil-2017-0012 fatcat:fyxgyehc3jcjrmc5hevaq35euy