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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 O F , the tame kernel of F. In particular, many authors have investigated the 2-Sylow subgroup of K O F . As compared with real quadratic fields, the 2-Sylow subgroups of K 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 O F for imaginary quadratic fields F. In our Ph.D. thesis (see...

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