Geodesic
The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields
Acta Arithmetica, Tome 69 (1995) no. 2, pp. 153-169

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1. Introduction. Let F be a number field and $O_F$ the ring of its integers. Many results are known about the group $K₂O_F$, the tame kernel of F. In particular, many authors have investigated the 2-Sylow subgroup of $K₂O_F$. As compared with real quadratic fields, the 2-Sylow subgroups of $K₂O_F$ 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 $K₂O_F$ 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 $K₂O_F$ for real quadratic fields F. The present paper is motivated by some ideas in the above thesis.
DOI : 10.4064/aa-69-2-153-169

Hourong Qin 1

1 
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Hourong Qin. The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields. Acta Arithmetica, Tome 69 (1995) no. 2, pp. 153-169. doi: 10.4064/aa-69-2-153-169

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