We give an effective characterization theorem for integral monic irreducible polynomials of degree whose Galois groups over are Frobenius groups with kernel of order and complement of prime order.
On donne une caractérisation effective des polynômes irréductibles de degré à coefficients entiers dont les groupes de Galois sur sont des groupes de Frobenius avec noyau d’ordre et complément d’ordre premier.
Keywords: effective characterization of polynomials with given Galois groups, Frobenius groups with prime order complement
@article{JTNB_1994__6_2_391_0, 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://archive.numdam.org/item/JTNB_1994__6_2_391_0/} }
TY - JOUR AU - Cangelmi, Leonardo TI - Polynomials whose Galois groups are Frobenius groups with prime order complement JO - Journal de théorie des nombres de Bordeaux PY - 1994 SP - 391 EP - 406 VL - 6 IS - 2 PB - Université Bordeaux I UR - http://archive.numdam.org/item/JTNB_1994__6_2_391_0/ LA - en ID - JTNB_1994__6_2_391_0 ER -
%0 Journal Article %A Cangelmi, Leonardo %T Polynomials whose Galois groups are Frobenius groups with prime order complement %J Journal de théorie des nombres de Bordeaux %D 1994 %P 391-406 %V 6 %N 2 %I Université Bordeaux I %U http://archive.numdam.org/item/JTNB_1994__6_2_391_0/ %G en %F JTNB_1994__6_2_391_0
Cangelmi, Leonardo. Polynomials whose Galois groups are Frobenius groups with prime order complement. Journal de théorie des nombres de Bordeaux, Volume 6 (1994) no. 2, pp. 391-406. http://archive.numdam.org/item/JTNB_1994__6_2_391_0/
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