REDEI MATRIX IN FUNCTION FIELDS

• 발행기관: 충청수학회
• 저자명: Hwanyup Jung
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 19, No. 4, 1~6쪽, 전체 6쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2006.12.30

영문 초록

Let K be a finite cyclic extension of k = F q (T ) of prime degree `. Let e Cl K,` be the Sylow `-subgroup of the ideal class group e Cl K of O K . The structure of e Cl K,` as Z ` [G]/hN G i-module is determined the dimensions λ i := dim F ` ( e Cl K,` ) for i ≥ 1. In this paper we investigate the dimensions λ 1 and λ 2 .

목차

1. Introduction

2. Narrow genus field and dimension λ 1

3. Redei matrix and dimension λ 2