1 citations · 2 across the 4 of their papers we have counts for
4 papers
Maximal Unramified -Extensions with Prescribed Galois Groups: A Quantitative Refinement of Ozaki's Theorem
Kwang-Seob Kim
Ozaki proved that every finite -group occurs as the Galois group of a maximal unramified -extension of a number field. Hajir, Maire and Ramakrishna made this theorem effectiv…
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…
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 $…
Class numbers of large degree nonabelian number fields
Kwang-Seob Kim, John C. Miller
If a number field has a large degree and discriminant, the computation of the class number becomes quite difficult, especially without the assumption of GRH. In this article, we wi…