Nous construisons des extensions galoisiennes de groupes de Galois métacycliques variés au moyen d’une théorie de Kummer émanant d’une isogénie de certains tores algébriques. En particulier, notre méthode nous permet de construire des tores algébriques paramétrant des extensions métacycliques.
Galois extensions with various metacyclic Galois groups are constructed by means of a Kummer theory arising from an isogeny of certain algebraic tori. In particular, our method enables us to construct algebraic tori parameterizing metacyclic extensions.
@article{JTNB_2012__24_2_339_0,
author = {Kida, Masanari},
title = {On metacyclic extensions},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {339--353},
publisher = {Soci\'et\'e Arithm\'etique de Bordeaux},
volume = {24},
number = {2},
year = {2012},
doi = {10.5802/jtnb.799},
zbl = {1280.11066},
mrnumber = {2950695},
language = {en},
url = {http://www.numdam.org/articles/10.5802/jtnb.799/}
}
TY - JOUR AU - Kida, Masanari TI - On metacyclic extensions JO - Journal de théorie des nombres de Bordeaux PY - 2012 SP - 339 EP - 353 VL - 24 IS - 2 PB - Société Arithmétique de Bordeaux UR - http://www.numdam.org/articles/10.5802/jtnb.799/ DO - 10.5802/jtnb.799 LA - en ID - JTNB_2012__24_2_339_0 ER -
Kida, Masanari. On metacyclic extensions. Journal de théorie des nombres de Bordeaux, Tome 24 (2012) no. 2, pp. 339-353. doi : 10.5802/jtnb.799. http://www.numdam.org/articles/10.5802/jtnb.799/
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