2𝑆₄*𝑄₈-extensions in characteristic 3

Crespo, Teresa

doi:10.1090/S0002-9939-03-07104-1

$2 S_4 * Q_8$-extensions in characteristic 3
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Proc. Amer. Math. Soc. 132 (2004), 691-695 Request permission

Abstract:

We 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 $K$.

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