2020/03/01 by Jean-François Jaulent, Jaulent, Jean-François
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2003.12301
openalex publication_date 2020/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given a real abelian field F with group G and an odd prime number \ℓ, we\ndefine the circular subgroup of the pro-\ℓ-group of logarithmic units and\nwe show that for any Galois morphism \ρ from the pro-\ℓ-group of\nlogarithmic units to Z\ℓ [G ], the image of the circular subgroup\nannihilates the \ℓ-group of logarithmic classes. We deduce from this a\nproof of a logarithmic version of Solomon conjecture.\n