PAC fields over number fields
Moshe Jarden1
1Tel Aviv University School of Mathematics Ramat Aviv, Tel Aviv 69978, Israel
Journal de théorie des nombres de Bordeaux, Volume 18 (2006) no. 2, pp. 371-377

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.

Received:
Published online:
DOI: 10.5802/jtnb.550

Moshe Jarden  1

1 Tel Aviv University School of Mathematics Ramat Aviv, Tel Aviv 69978, Israel 
Moshe Jarden. PAC fields over number fields. Journal de théorie des nombres de Bordeaux, Volume 18 (2006) no. 2, pp. 371-377. doi: 10.5802/jtnb.550
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