Imaginary quadratic fields of class number 2
โ Scribed by Larry Joel Goldstein
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 607 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let k be an imaginary quadratic number field with C k, 2 , the 2-Sylow subgroup of its ideal class group, isomorphic to Zร2Z\_Zร2Z\_Zร2Z. By the use of various versions of the Kuroda class number formula, we improve significantly upon our previous lower bound for |C k 1 , 2 | , the 2-class number of
The maximal unramified extensions of the imaginary quadratic number fields with class number two are determined explicitly under the Generalized Riemann Hypothesis.
Let N be an imaginary cyclic number field of degree 2n. When n=3 or n=2 m 2, the fields N with class numbers equal to their genus class numbers and the fields N with relative class numbers less than or equal to 4 are completely determined [10,13,26,27]. Now assume that n 5 and n is not a 2-power. In