We give an infinite set of distinct monogenic septimic fields whose normal closure has Galois group .
Nous donnons un ensemble infini de corps de degré monogènes distincts dont la clôture normale a pour groupe de Galois .
Mots-clés : Galois Group, Septimic Field, Power Basis
Melisa J. Lavallee 1; Blair K. Spearman 1; Qiduan Yang 1
@article{JTNB_2012__24_2_369_0, author = {Melisa J. Lavallee and Blair K. Spearman and Qiduan Yang}, 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}, mrnumber = {2950697}, zbl = {1280.11062}, language = {en}, url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.801/} }
TY - JOUR AU - Melisa J. Lavallee AU - Blair K. Spearman AU - Qiduan Yang 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 - https://jtnb.centre-mersenne.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 Melisa J. Lavallee %A Blair K. Spearman %A Qiduan Yang %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 https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.801/ %R 10.5802/jtnb.801 %G en %F JTNB_2012__24_2_369_0
Melisa J. Lavallee; Blair K. Spearman; Qiduan Yang. PSL$(2,7)$ septimic fields with a power basis. Journal de théorie des nombres de Bordeaux, Volume 24 (2012) no. 2, pp. 369-375. doi : 10.5802/jtnb.801. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.801/
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