\(2\)-Galois groups and the Kaplansky radical

An accurate description of the Galois group \(G_{F}(2)\) of the maximal Galois \(2\)-extension of a field \(F\) may be given for fields \(F\) admitting a \(2\)-henselian valuation ring. In this note we generalize this result by characterizing the fields for which \({G_{F}{(2)}}\) decomposes as a fre...

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Bibliographic Details
Date:2018
Main Authors: Dario, Ronie Peterson, Engler, Antonio Jose
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/649
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Journal Title:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics