Geodesic
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

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MR Zbl

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.

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.

Classification : Primary 12F10, 12Y05, Secondary 12F12, 12-04
Keywords: effective characterization of polynomials with given Galois groups, Frobenius groups with prime order complement 
Cangelmi, Leonardo. 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. http://geodesic.mathdoc.fr/item/JTNB_1994__6_2_391_0/
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     title = {Polynomials whose {Galois} groups are {Frobenius} groups with prime order complement},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {391--406},
     year = {1994},
     publisher = {Universit\'e Bordeaux I},
     volume = {6},
     number = {2},
     mrnumber = {1360652},
     zbl = {0828.12004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JTNB_1994__6_2_391_0/}
}
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