http://hdl.handle.net/20.500.12128/6359
Title: | Infinite towers of Galois defect extensions of Kaplansky fields |
Authors: | Blaszczok, Anna |
Keywords: | Twierdzenie Kaplansky’ego; teoria Galois |
Issue Date: | 2018 |
Citation: | Annales Mathematicae Silesianae,Vol. 32 (2018), s. 65-78 |
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. |
URI: | http://hdl.handle.net/20.500.12128/6359 |
ISSN: | 0860-2107 2391-4238 |
Appears in Collections: | Artykuły (WNŚiT) |
File | Description | Size | Format | |
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Blaszczok_Infinite_towers_of_Galois_defect_extensions.pdf | 542,64 kB | Adobe PDF | View/Open |
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