Automatic realizations of Galois groups with cyclic quotient of order $p^n$

Mináč, Ján; Schultz, Andrew; Swallow, John

Journal de théorie des nombres de Bordeaux, Volume 20 (2008) no. 2, pp. 419-430.

We establish automatic realizations of Galois groups among groups $M⋊G$, where $G$ is a cyclic group of order $p^n$ for a prime $p$ and $M$ is a quotient of the group ring ${𝔽}_p\left[G\right]$.

Nous établissons des réalisations automatiques de groupes de Galois parmi les groupes $M⋊G$ où $G$ est un groupe cyclique d’ordre $p^n$, $p$ premier, et $M$ un groupe quotient de l’anneau ${𝔽}_p\left[G\right]$.

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