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Class Numbers of CM-Fields with Solvable Normal Closure

✍ Scribed by V. Kumar Murty


Book ID
110365183
Publisher
Cambridge University Press
Year
2001
Tongue
English
Weight
141 KB
Volume
127
Category
Article
ISSN
0010-437X

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πŸ“œ SIMILAR VOLUMES


Class number one problem for normal CM-f
✍ Sun-Mi Park; Soun-Hi Kwon πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 360 KB

It is known that if we assume the Generalized Riemann Hypothesis, then any normal CM-field with relative class number one is of degree less than or equal to 96. All normal CM-fields of degree less than 48 with class number one are known. In addition, for normal CM-fields of degree 48 the class numbe

The Non-normal Quartic CM-Fields and the
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In this paper we determine all non-normal quartic CM-fields with relative class number two and all octic dihedral CM-fields with relative class number two: there are exactly 254 non-isomorphic non-normal quartic CM-fields with relative class number two and 95 non-isomorphic octic dihedral CM-fields