Geodesic
The Sylow $p$-Subgroups of Tame Kernels in Dihedral Extensions of Number Fields
Qianqian Cui 1   ; Haiyan Zhou 1
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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@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},
     year = {2013},
     volume = {61},
     number = {2},
     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
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
%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

Cité par Sources :