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
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 $D_{16}$.
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
Affiliations des auteurs :
Qianqian Cui 1 ; Haiyan Zhou 1
@article{10_4064_ba61_2_4,
author = {Qianqian Cui and Haiyan Zhou},
title = {The {Sylow} $p${-Subgroups} of {Tame} {Kernels} in {Dihedral} {Extensions} of {Number} {Fields}},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
pages = {113--121},
publisher = {mathdoc},
volume = {61},
number = {2},
year = {2013},
doi = {10.4064/ba61-2-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ba61-2-4/}
}
TY - JOUR AU - Qianqian Cui AU - Haiyan Zhou TI - The Sylow $p$-Subgroups of Tame Kernels in Dihedral Extensions of Number Fields JO - Bulletin of the Polish Academy of Sciences. Mathematics PY - 2013 SP - 113 EP - 121 VL - 61 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/ba61-2-4/ DO - 10.4064/ba61-2-4 LA - en ID - 10_4064_ba61_2_4 ER -
%0 Journal Article %A Qianqian Cui %A Haiyan Zhou %T The Sylow $p$-Subgroups of Tame Kernels in Dihedral Extensions of Number Fields %J Bulletin of the Polish Academy of Sciences. Mathematics %D 2013 %P 113-121 %V 61 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/ba61-2-4/ %R 10.4064/ba61-2-4 %G en %F 10_4064_ba61_2_4
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
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