Abstract
Let K be an imaginary cyclic quartic number field whose 2-class group is nontrivial, it is known that there exists at least one unramified quadratic extension F of K. In this paper, we compute the rank of the 2-class group of the field F.
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This work is partially supported by CNRST (PBER) and ACSA laboratory (FSO-UMPO).
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Azizi, A., Jerrari, I. & Talbi, M. On the rank of the 2-class group of an extension of degree 8 over \(\mathbb {Q}\). Period Math Hung 78, 128–134 (2019). https://doi.org/10.1007/s10998-018-0269-5
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DOI: https://doi.org/10.1007/s10998-018-0269-5