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

• Autorzy: Qianqian Cui , Haiyan Zhou
• Języki publikacji: EN

Abstrakty

EN

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 $D_{16}$.

Kategorie tematyczne

• 12F10: Separable extensions, Galois theory
• 11R70: K -theory of global fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2013
• Tom: 61
• Numer: 2
• Strony: 113-121

Daty

wydano

2013

Twórcy

autor

Qianqian Cui

• School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, P.R. China

autor

Haiyan Zhou

• School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, P.R. China

Identyfikatory

DOI

10.4064/ba61-2-4