Abstract
For G a finite group and p a prime, a G-p field is a Galois number field K with \(\mbox{Gal}(K/{\bf Q}) \cong G\) and \(\mbox{disc}(K) = \pm p^{a}\) for some a. We study the existence of G-p fields for fixed G and varying p.
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Jones, J.W., Roberts, D.P. (2008). Number Fields Ramified at One Prime. In: van der Poorten, A.J., Stein, A. (eds) Algorithmic Number Theory. ANTS 2008. Lecture Notes in Computer Science, vol 5011. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79456-1_15
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DOI: https://doi.org/10.1007/978-3-540-79456-1_15
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