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

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

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

DOI : 10.5802/jtnb.550
Jarden, Moshe 1

1 Tel Aviv University School of Mathematics Ramat Aviv, Tel Aviv 69978, Israel
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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. http://www.numdam.org/articles/10.5802/jtnb.550/

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