Soit une extension galoisienne d’un corps hilbertien et dénombrable. Bien que ne soit pas nécessairement hilbertien, nous montrons qu’il existe beaucoup de grandes sous-extensions de qui le sont.
Let be a Galois extension of a countable Hilbertian field . Although need not be Hilbertian, we prove that an abundance of large Galois subextensions of are.
@article{JTNB_2013__25_1_31_0, author = {Bary-Soroker, Lior and Fehm, Arno}, title = {Random {Galois} extensions of {Hilbertian} fields}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {31--42}, publisher = {Soci\'et\'e Arithm\'etique de Bordeaux}, volume = {25}, number = {1}, year = {2013}, doi = {10.5802/jtnb.823}, zbl = {06173995}, mrnumber = {3063828}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/jtnb.823/} }
TY - JOUR AU - Bary-Soroker, Lior AU - Fehm, Arno TI - Random Galois extensions of Hilbertian fields JO - Journal de théorie des nombres de Bordeaux PY - 2013 SP - 31 EP - 42 VL - 25 IS - 1 PB - Société Arithmétique de Bordeaux UR - http://archive.numdam.org/articles/10.5802/jtnb.823/ DO - 10.5802/jtnb.823 LA - en ID - JTNB_2013__25_1_31_0 ER -
%0 Journal Article %A Bary-Soroker, Lior %A Fehm, Arno %T Random Galois extensions of Hilbertian fields %J Journal de théorie des nombres de Bordeaux %D 2013 %P 31-42 %V 25 %N 1 %I Société Arithmétique de Bordeaux %U http://archive.numdam.org/articles/10.5802/jtnb.823/ %R 10.5802/jtnb.823 %G en %F JTNB_2013__25_1_31_0
Bary-Soroker, Lior; Fehm, Arno. Random Galois extensions of Hilbertian fields. Journal de théorie des nombres de Bordeaux, Tome 25 (2013) no. 1, pp. 31-42. doi : 10.5802/jtnb.823. http://archive.numdam.org/articles/10.5802/jtnb.823/
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