Geodesic
Sur le radical kummérien des $\mathbb {Z}_\ell $-extensions
Jean-François Jaulent1
1 Université de Bordeaux & CNRS Institut de Mathématiques de Bordeaux 351, cours de la Libération 33405 Talence Cedex, France
Acta Arithmetica, Tome 175 (2016) no. 3, pp. 245-253.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

On the basis of a previous work, we elaborate a new description of the Kummer radical associated to the first layers of $\mathbb{F}_2$-extensions of a number field $K$, by using inverse limits for the norm maps in the cyclotomic $\mathbb{F}_2$-extension $K_\infty/K$. Our main result contains, as an obvious consequence, the inclusions provided by Soogil Seo in a series of papers. In the same way we also give in the last section a similar description of the Tate kernel for universal symbols in $K_2(K)$.
DOI : 10.4064/aa8366-7-2016
Mots-clés : basis previous work elaborate description kummer radical associated first layers mathbb extensions number field nbsp using inverse limits norm maps cyclotomic mathbb extension infty main result contains obvious consequence inclusions provided soogil seo series papers section similar description tate kernel universal symbols

Jean-François Jaulent 1

1 Université de Bordeaux & CNRS Institut de Mathématiques de Bordeaux 351, cours de la Libération 33405 Talence Cedex, France 
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Jean-François Jaulent. Sur le radical kummérien des $\mathbb {Z}_\ell $-extensions. Acta Arithmetica, Tome 175 (2016) no. 3, pp. 245-253. doi : 10.4064/aa8366-7-2016. http://geodesic.mathdoc.fr/articles/10.4064/aa8366-7-2016/

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