4 papers · 1 filter
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…
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 - ${\e…
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…
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 -uni…