collaborators

4 papers

math.NT2026

Construction Of Non-Odd Galois Representations With Large Image

Donghyeok Lim, Christian Maire

In this work, we construct Galois representations with large image that are not GL r -odd (or, equivalently, not regular at infinity). More precisely, for every prime p {\v e} 3, e…

math.NT2026

Indivisibility of ray class groups of real quadratic fields

Emmanuel Lecouturier, Christian Maire

Let , p 5 be primes such that p | ( -1). Let > 0 be the fundamental discriminant of a real quadratic field in which splits. We denote by h - ${\…

math.GR2025

Maximal -extensions of Pythagorean fields and Right Angled Artin Groups

Oussama Hamza, Christian Maire, Ján Mináč +1

In this paper, we describe minimal presentations of maximal pro- quotients of absolute Galois groups of formally real Pythagorean fields of finite type. For this purpose, we int…

math.NT2025

Massey products and unipotent extensions with restricted ramification

Oussama Hamza, Donghyeok Lim, Christian Maire

We fix a prime p and construct new cases of pro-p extensions of number fields with restricted ramification and splitting, whose Galois groups decompose as coproducts of pro-p absol…