Donghyeok Lim

activity

20232026

collaborators

3 papers

math.NT2026

Tame Galois Groups, Linking Numbers and Mildness

Julian Feuerpfeil, Oussama Hamza, Donghyeok Lim

Let $p$ be an odd prime and let $S$ be a set of tame primes. We denote by $G_{S}$ the Galois group of the maximal pro- $p$ extension of $Q$ unramified outside $S$ . We prove t…

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 Galois structure of units in totally real $p$ -rational number fields

Zakariae Bouazzaoui, Donghyeok Lim

The theory of factor-equivalence of integral lattices establishes a far-reaching relationship between the Galois module structure of the unit group of the ring of integers of a num…

Tame Galois Groups, Linking Numbers and Mildness

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

On the Galois structure of units in totally real p-rational number fields

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

On the Galois structure of units in totally real $p$ -rational number fields