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THE IMAGINARY ABELIAN NUMBER FIELDS OF 2-POWER DEGREES WITH IDEAL CLASS GROUPS OF EXPONENT <= 2
- Authors
- Ahn, Jeoung-Hwan; Kwon, Soun-Hi
- Issue Date
- 1월-2012
- Publisher
- AMER MATHEMATICAL SOC
- Keywords
- Class group; class numbers; relative class numbers
- Citation
- MATHEMATICS OF COMPUTATION, v.81, no.277, pp.533 - 554
- Indexed
- SCIE
SCOPUS
- Journal Title
- MATHEMATICS OF COMPUTATION
- Volume
- 81
- Number
- 277
- Start Page
- 533
- End Page
- 554
- ISSN
- 0025-5718
- Abstract
- 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.
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