PAC fields over number fields

Jarden, Moshe

doi:10.5802/jtnb.550

Jarden, Moshe ¹

¹ Tel Aviv University School of Mathematics Ramat Aviv, Tel Aviv 69978, Israel

Journal de théorie des nombres de Bordeaux, Tome 18 (2006) no. 2, pp. 371-377

Abstract (VO)
Résumé

We prove that if $K$ is a number field and $N$ is a Galois extension of $ℚ$ which is not algebraically closed, then $N$ is not PAC over $K$ .

Soient $K$ un corps de nombres et $N$ une extension galoisienne de $ℚ$ qui n’est pas algébriquement close. Alors $N$ n’est pas PAC sur $K$ .

MR Zbl

DOI : 10.5802/jtnb.550

Affiliations des auteurs :

Jarden, Moshe ¹

¹ Tel Aviv University School of Mathematics Ramat Aviv, Tel Aviv 69978, Israel

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     title = {PAC fields over number fields},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
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     year = {2006},
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     zbl = {05135402},
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Jarden, Moshe. PAC fields over number fields. Journal de théorie des nombres de Bordeaux, Tome 18 (2006) no. 2, pp. 371-377. doi: 10.5802/jtnb.550

Bibliographie
Cité par

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