Geodesic
The Sylow $p$-Subgroups of Tame Kernels in Dihedral Extensions of Number Fields
Qianqian Cui1 ; Haiyan Zhou1
1 School of Mathematical Sciences Nanjing Normal University Nanjing, 210023 P.R. China
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) no. 2, pp. 113-121.

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

Let $F/E$ be a Galois extension of number fields with Galois group $D_{2^{n}}$. In this paper, we give some expressions for the order of the Sylow $p$-subgroups of tame kernels of $F$ and some of its subfields containing $E$, where $p$ is an odd prime. As applications, we give some results about the order of the Sylow $p$-subgroups when $F/E$ is a Galois extension of number fields with Galois group $D_{16}$.
DOI : 10.4064/ba61-2-4
Keywords: galois extension number fields galois group paper expressions order sylow p subgroups tame kernels its subfields containing where odd prime applications results about order sylow p subgroups galois extension number fields galois group

Qianqian Cui 1 ; Haiyan Zhou 1

1 School of Mathematical Sciences Nanjing Normal University Nanjing, 210023 P.R. China 
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Qianqian Cui; Haiyan Zhou. The Sylow $p$-Subgroups of Tame Kernels in Dihedral Extensions of Number Fields. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) no. 2, pp. 113-121. doi : 10.4064/ba61-2-4. http://geodesic.mathdoc.fr/articles/10.4064/ba61-2-4/

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