1 citations · 1 across the 2 of their papers we have counts for
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On unramified solvable extensions of small number fields
Joachim König
We investigate unramified extensions of number fields with prescribed solvable Galois group and certain extra conditions. In particular, we are interested in the minimal degree of…
Density results for specialization sets of Galois covers
Joachim König, François Legrand
We provide evidence for this conclusion: given a finite Galois cover of group , almost all (in a density sense) realizations of ov…
Rational pullbacks of Galois covers
Pierre Dèbes, Joachim König, François Legrand +1
The finite subgroups of are shown to be the only finite groups with this property: for some integer (depending on ), all Galois covers $X\rig…
An approach for computing families of multi-branch-point covers and applications for symplectic Galois groups
Dominik Barth, Joachim König, Andreas Wenz
We propose an approach for the computation of multi-parameter families of Galois extensions with prescribed ramification type. More precisely, we combine existing deformation and i…
Some examples of quadratic fields with finite nonsolvable maximal unramified extensions II
Kwang-Seob Kim, Joachim König
Let be a number field and be the maximal extension of that is unramified at all places. In a previous article, the first author found three real quadratic fields $…