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The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields

Hourong Qin — 1995

Acta Arithmetica

1. Introduction. Let F be a number field and $O_{F}$ the ring of its integers. Many results are known about the group $K ₂ O_{F}$ , the tame kernel of F. In particular, many authors have investigated the 2-Sylow subgroup of $K ₂ O_{F}$ . As compared with real quadratic fields, the 2-Sylow subgroups of $K ₂ O_{F}$ for imaginary quadratic fields F are more difficult to deal with. The objective of this paper is to prove a few theorems on the structure of the 2-Sylow subgroups of $K ₂ O_{F}$ for imaginary quadratic fields F. In our Ph.D. thesis (see...

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The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields

The 4-rank of $K ₂ O_{F}$ for real quadratic fields F

The 8-rank of tame kernels of quadratic number fields

On the multiplicative independence of binomial coefficients

The structure of the tame kernels of quadratic number fields (II)

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Formula preview

Currently displaying 1 – 5 of 5

The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields

The 4-rank of K ₂ O F for real quadratic fields F

The 8-rank of tame kernels of quadratic number fields

On the multiplicative independence of binomial coefficients

The structure of the tame kernels of quadratic number fields (II)

The 4-rank of $K ₂ O_{F}$ for real quadratic fields F