We prove that there are only finitely many CM-fields N with cyclic ideal class groups of 2-power orders such that the complex conjugation is the square of some automorphism of N. Since their actual determination would be too difficult, we only content ourselves with the determination of the nonquadr
Imaginary Bicyclic Biquadratic Fields With Cyclic 2-Class Group
β Scribed by T.M. Mccall; C.J. Parry; R.R. Ranalli
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 375 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0022-314X
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β¦ Synopsis
A method for determining the rank of the 2-class group of imaginary bicyclic biquadratic fields is described. This method is used to determine all such fields with cyclic 2-class group. We also determine the structure of the 2 -class group in several cases when it is noncyclic. 1995 Academic Press. Inc.
π SIMILAR VOLUMES
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