$2S_4 * Q_8$-extensions in characteristic 3

Crespo Vicente, Teresa2016-02-242016-02-2420030002-9939https://hdl.handle.net/2445/95819We present an explicit construction of the complete family of Galois extensions of a field $K$ of characteristic 3 with Galois group the central product $2S_4 * Q_8$ of a double cover $2S_4$ of the symmetric group $S_4$ and the quaternion group $Q_8$, containing a given $S_4$-extension of the field $K$.5 p.application/pdfeng(c) American Mathematical Society (AMS), 2003Teoria de GaloisPolinomisGalois theoryPolynomials$2S_4 * Q_8$-extensions in characteristic 3info:eu-repo/semantics/article5137942016-02-24info:eu-repo/semantics/openAccess