Donghyeok Lim

collaborators

3 papers

math.NT2024

The finitude of tamely ramified pro- $p$ extensions of number fields with cyclic $p$ -class groups

Yoonjin Lee, Donghyeok Lim

Let $p$ be an odd prime and $F$ be a number field whose $p$ -class group is cyclic. Let $F_{{q}}$ be the maximal pro- $p$ extension of $F$ which is unramified outside a…

math.NT2023

On the existence of Minkowski units

David Burns, Donghyeok Lim, Christian Maire

We investigate the Galois structure of algebraic units in cyclic extensions of number fields and thereby obtain strong new results on the existence of independent Minkowski $S$ -uni…

math.NT2023

On the analyticity of the maximal extension of a number field with prescribed ramification and splitting

Donghyeok Lim, Christian Maire

We determine all the $p$ -adic analytic groups that are realizable as Galois groups of the maximal pro- $p$ extensions of number fields with prescribed ramification and splitting und…

The finitude of tamely ramified pro-p extensions of number fields with cyclic p-class groups

On the existence of Minkowski units

On the analyticity of the maximal extension of a number field with prescribed ramification and splitting

The finitude of tamely ramified pro- $p$ extensions of number fields with cyclic $p$ -class groups