Polynomials whose Galois groups are Frobenius groups with prime order complement

Leonardo Cangelmi

Leonardo Cangelmi

Journal de théorie des nombres de Bordeaux, Tome 6 (1994) no. 2, pp. 391-406.

Résumé
Abstract

On donne une caractérisation effective des polynômes irréductibles de degré $n$ à coefficients entiers dont les groupes de Galois sur $ℚ$ sont des groupes de Frobenius avec noyau d’ordre $n$ et complément d’ordre premier.

We give an effective characterization theorem for integral monic irreducible polynomials $f$ of degree $n$ whose Galois groups over $ℚ$ are Frobenius groups with kernel of order $n$ and complement of prime order.

MR Zbl

Classification : Primary 12F10, 12Y05, Secondary 12F12, 12-04
Mots clés : effective characterization of polynomials with given Galois groups, Frobenius groups with prime order complement

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     author = {Leonardo Cangelmi},
     title = {Polynomials whose {Galois} groups are {Frobenius} groups with prime order complement},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {391--406},
     publisher = {Universit\'e Bordeaux I},
     volume = {6},
     number = {2},
     year = {1994},
     zbl = {0828.12004},
     mrnumber = {1360652},
     language = {en},
     url = {https://jtnb.centre-mersenne.org/item/JTNB_1994__6_2_391_0/}
}

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Leonardo Cangelmi. Polynomials whose Galois groups are Frobenius groups with prime order complement. Journal de théorie des nombres de Bordeaux, Tome 6 (1994) no. 2, pp. 391-406. https://jtnb.centre-mersenne.org/item/JTNB_1994__6_2_391_0/

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