Automatic realizations of Galois groups with cyclic quotient of order ${p}^{n}$
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$$G$ est un groupe cyclique d’ordre ${p}^{n}$, $p$ premier, et $M$ un groupe quotient de l’anneau ${𝔽}_{p}\left[G\right]$.

DOI: 10.5802/jtnb.635
Ján Mináč 1; Andrew Schultz 2; John Swallow 3

1 Department of Mathematics Middlesex College University of Western Ontario London, Ontario N6A 5B7 CANADA
2 Department of Mathematics University of Illinois at Urbana-Champaign 1409 W. Green Street Urbana, IL 61801 USA
3 Department of Mathematics Davidson College Box 7046 Davidson, North Carolina 28035-7046 USA
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Ján Mináč; Andrew Schultz; John Swallow. Automatic realizations of Galois groups with cyclic quotient of order ${p^n}$. Journal de théorie des nombres de Bordeaux, Volume 20 (2008) no. 2, pp. 419-430. doi : 10.5802/jtnb.635. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.635/

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