학술저널
ANTI-CYCLOTOMIC EXTENSION AND HILBERT CLASS FIELD
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 25, No. 1
-
2012.0291 - 95 (5 pages)
- 2
In this paper, we show how to construct the ¯rst layer ka1 of anti-cyclotomic Z3-extension of imaginary quadratic ¯eldsk(= Q(p¡d)) when the Sylow subgroup of class group of k is 3- elementary, and give an example. This example is di？？erent from the one we obtained before in the sense that when we write ka1 = k(´);´ is obtained from non-units of Q(p 3d):
1. Introduction
2. Proof of theorems
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