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math.NT2019★ 1 cited
On Galois extensions with prescribed decomposition groups
Kwang-Seob Kim, Joachim König
We study the inverse Galois problem with local conditions. In particular, we ask whether every finite group occurs as the Galois group of a Galois extension of all of…
math.NT2019
On the mod- distribution of discriminants of -extensions
Joachim König
This paper was motivated by a recent paper by Krumm and Pollack investigating modulo- behaviour of quadratic twists with rational points of a given hyperelliptic curve, conditio…