Showing 2026Show all
2 papers · 1 filter
math.NT2026
Local Minkowski units in non-abelian extensions with cyclic Sylow -subgroups
Wan Lee, Donghyeok Lim
We establish a criterion for the existence of a local Minkowski unit at that applies to all Galois extensions with Galois group isomorphic to the direct product of a non--gr…
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…