GALOIS STRUCTURES OF DEFINING FIELDS OF FAMILIES OF ELLIPTIC CURVES WITH CYCLIC TORSION

• 발행기관: 충청수학회
• 저자명: Daeyeol Jeon
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 27, No. 2, 205~210쪽, 전체 6쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2014.05.30

영문 초록

The author with C. H. Kim and Y. Lee constructed in¯nite families of elliptic curves over cubic number ¯elds K with prescribed torsion groups which occur in¯nitely often. In this paper, we examine the Galois structures of such cubic number ¯elds K for the families of elliptic curves with cyclic torsion.

목차

1. Introduction

2. Preliminaries

3. Galois structures of the de¯ning ¯eld of the constructed elliptic curves