Abstract
Let $E/F$ be a non-abelian Galois extension of number fields of degree $q^{3}$. We give some expressions for the order of the Sylow $p$-subgroup of tame kernel of $E$ and some of its subfields containing $F$, where $p$ is a prime, $q$ is an odd prime, $p\neq q$. As applications, we give some results about the orders of the Sylow $p$-subgroups of tame kernels when $E/mathbb{Q}(\zeta_{3})$ is a Galois extension of number fields with non-abelian Galois group of order $27$.
Citation
Qianqian Cui. Haiyan Zhou. "Tame kernels of non-abelian Galois extensions of number fields of degree $q^3$." Funct. Approx. Comment. Math. 51 (2) 335 - 345, December 2014. https://doi.org/10.7169/facm/2014.51.2.6
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