2015/11/10 by Jean-François Jaulent, Jaulent, Jean-François
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1511.03027
openalex publication_date 2015/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
On the basis of a previous work, we elaborate a new description of the Kummer radical associated to the first layers of ℤ_ℓ--extensions of a number fields K, by using inverse limits for the norm maps in the cyclotomic ℤ_ℓ-extension. Our main result contains, as an obvious consequence, the inclusions provided by Soogil Seo in a set of papers. By the same way we also give in the last section a similar description of the Tate kernel for universal symbols in K2(K).