On vectorial polynomials and coverings in characteristic 3

Crespo, Teresa; Hajto, Zbigniew

doi:10.1090/S0002-9939-05-08273-0

On vectorial polynomials and coverings in characteristic 3
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by Teresa Crespo and Zbigniew Hajto PDF

Proc. Amer. Math. Soc. 134 (2006), 23-29 Request permission

Abstract:

For $K$ a field containing the finite field $\mathbb {F}_9$ we give explicitly the whole family of Galois extensions of $K$ with Galois group $2S_4*Q_8$ or $2S_4*D_8$ and determine the discriminant of such an extension.

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