1. Introduction. Let F be a number field and the ring of its integers. Many results are known about the group , the tame kernel of F. In particular, many authors have investigated the 2-Sylow subgroup of . As compared with real quadratic fields, the 2-Sylow subgroups of 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 for imaginary quadratic fields F. In our Ph.D. thesis (see [11]), we develop a method to determine the structure of the 2-Sylow subgroups of for real quadratic fields F. The present paper is motivated by some ideas in the above thesis.
@article{bwmeta1.element.bwnjournal-article-aav69i2p153bwm,
author = {Hourong Qin},
title = {The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields},
journal = {Acta Arithmetica},
volume = {69},
year = {1995},
pages = {153-169},
zbl = {0826.11055},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav69i2p153bwm}
}
Hourong Qin. The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields. Acta Arithmetica, Tome 69 (1995) pp. 153-169. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav69i2p153bwm/
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