Julian Feuerpfeil

collaborators

5 papers

math.NT2026

Bockstein Spectral Sequences and Applications to the Tame Fontaine Mazur Conjecture

Julian Feuerpfeil

For a number field $K$ , a prime $p$ and a finite set of tame places $S$ we consider the groups $G_{K, S}$ - the Galois groups of the maximal pro- $p$ extension of $K$ unramified outs…

math.NT2026

A cohomological translation of the Kaplansky radical for profinite groups

Simone Blumer, Julian Feuerpfeil, Lucas Correa Lopes +1

The Kaplansky radical of a field consists of the nonzero elements represented by every norm quadratic form in two variables. D. Kijima and M. Nishi conjectured that, for quadratic…

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.GR2026

On the Bogomolov-Positselski Conjecture

Julian Feuerpfeil

Let $p$ be a prime. An oriented pro- $p$ group $(G, I^¸)$ is said to have the Bogomolov--Positselski property if it is Kummerian and if $I_{I^} ¸ (G)$ is a free pro- $p$ group. In this pape…

math.NT2025

A Hilbert 90 Property for S-Class Groups and Applications to the Gross--Kuz'min Conjecture

Julian Feuerpfeil

Let $L / K$ be a cyclic extension of number fields, and let $S$ be a finite set of places of $K$ containing the ramified and Archimedean ones. We say that $L / K$ has the $\mathbf{cl}^…