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
โ Scribed by Ken Yamamura
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 290 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
โฆ Synopsis
The maximal unramified extensions of the imaginary quadratic number fields with class number two are determined explicitly under the Generalized Riemann Hypothesis.
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