The Sylow p-Subgroups of Tame Kernels in Dihedral Extensions of Number Fields

Qianqian Cui, and Haiyan Zhou. "The Sylow p-Subgroups of Tame Kernels in Dihedral Extensions of Number Fields." Bulletin of the Polish Academy of Sciences. Mathematics 61.2 (2013): 113-121. <http://eudml.org/doc/281218>.

@article{QianqianCui2013,
abstract = {Let F/E be a Galois extension of number fields with Galois group $D_\{2ⁿ\}$. 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 $D_\{16\}$.},
author = {Qianqian Cui, Haiyan Zhou},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {tame kernels; dihedral extensions of number fields},
language = {eng},
number = {2},
pages = {113-121},
title = {The Sylow p-Subgroups of Tame Kernels in Dihedral Extensions of Number Fields},
url = {http://eudml.org/doc/281218},
volume = {61},
year = {2013},
}

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
VL - 61
IS - 2
SP - 113
EP - 121
AB - Let F/E be a Galois extension of number fields with Galois group $D_{2ⁿ}$. 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 $D_{16}$.
LA - eng
KW - tame kernels; dihedral extensions of number fields
UR - http://eudml.org/doc/281218
ER -