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초록
In this paper, assuming the Generalized Riemann Hypothesis, we determine all imaginary abelian number fields N of 2-power degrees with ideal class groups of exponents <= 2 for which the 2-ranks of the Galois group of N over Q are equal to 2.
키워드
Class group; class numbers; relative class numbers; CM-FIELDS; QUADRATIC FIELDS; LOWER BOUNDS
- 제목
- THE IMAGINARY ABELIAN NUMBER FIELDS OF 2-POWER DEGREES WITH IDEAL CLASS GROUPS OF EXPONENT <= 2
- 저자
- Ahn, Jeoung-Hwan; Kwon, Soun-Hi
- 발행일
- 2012-01
- 유형
- Article
- 권
- 81
- 호
- 277
- 페이지
- 533 ~ 554