The 2-rank of the class group of some real cyclic quartic number fields II
Abstract
In this paper, we determine the 2-rank of the class group of certain classes of real cyclic quartic number fields. Precisely, we consider the case in which the quadratic subfield is Q(\sqrt{l}) with l=2 or a prime congruent to 1 mod 8.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2020
- DOI:
- 10.48550/arXiv.2004.08266
- arXiv:
- arXiv:2004.08266
- Bibcode:
- 2020arXiv200408266A
- Keywords:
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- Mathematics - Number Theory