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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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 
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     author = {Cangelmi, Leonardo},
     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},
     mrnumber = {1360652},
     zbl = {0828.12004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JTNB_1994__6_2_391_0/}
}
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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/