Ramification in quartic cyclic number fields $K$ generated by $x^4+px^2+p$
If $K$ is the splitting field of the polynomial $f(x)=x^4+px^2+p$ and $p$ is a rational prime of the form $4+n^2$, we give appropriate generators of $K$ to obtain the explicit factorization of the ideal $q{\mathcal O}_K$, where $q$ is a positive rational prime. For this, we calculate the index of th...
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| Main Authors: | , |
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| Format: | article |
| Language: | EN |
| Published: |
Institute of Mathematics of the Czech Academy of Science
2021
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| Subjects: | |
| Online Access: | https://doaj.org/article/b53e413f273d4bfdbc6e3402c62aeb85 |
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