ANTI-CYCLOTOMIC EXTENSION AND HILBERT CLASS FIELD

• 발행기관: 충청수학회
• 저자명: Jangheon Oh
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 25, No. 1, 91~95쪽, 전체 5쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2012.02.28

영문 초록

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):

목차

1. Introduction

2. Proof of theorems