Nous donnons un ensemble infini de corps de degré monogènes distincts dont la clôture normale a pour groupe de Galois .
We give an infinite set of distinct monogenic septimic fields whose normal closure has Galois group .
Mots clés : Galois Group, Septimic Field, Power Basis
@article{JTNB_2012__24_2_369_0, author = {Lavallee, Melisa J. and Spearman, Blair K. and Yang, Qiduan}, title = {PSL$(2,7)$ septimic fields with a power basis}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {369--375}, publisher = {Soci\'et\'e Arithm\'etique de Bordeaux}, volume = {24}, number = {2}, year = {2012}, doi = {10.5802/jtnb.801}, zbl = {1280.11062}, mrnumber = {2950697}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/jtnb.801/} }
TY - JOUR AU - Lavallee, Melisa J. AU - Spearman, Blair K. AU - Yang, Qiduan TI - PSL$(2,7)$ septimic fields with a power basis JO - Journal de théorie des nombres de Bordeaux PY - 2012 SP - 369 EP - 375 VL - 24 IS - 2 PB - Société Arithmétique de Bordeaux UR - http://archive.numdam.org/articles/10.5802/jtnb.801/ DO - 10.5802/jtnb.801 LA - en ID - JTNB_2012__24_2_369_0 ER -
%0 Journal Article %A Lavallee, Melisa J. %A Spearman, Blair K. %A Yang, Qiduan %T PSL$(2,7)$ septimic fields with a power basis %J Journal de théorie des nombres de Bordeaux %D 2012 %P 369-375 %V 24 %N 2 %I Société Arithmétique de Bordeaux %U http://archive.numdam.org/articles/10.5802/jtnb.801/ %R 10.5802/jtnb.801 %G en %F JTNB_2012__24_2_369_0
Lavallee, Melisa J.; Spearman, Blair K.; Yang, Qiduan. PSL$(2,7)$ septimic fields with a power basis. Journal de théorie des nombres de Bordeaux, Tome 24 (2012) no. 2, pp. 369-375. doi : 10.5802/jtnb.801. http://archive.numdam.org/articles/10.5802/jtnb.801/
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