The unit norm index and p-class group in certain degree \ℓ\n extensions

2020/11/02 by Ariella Kirsch, Kirsch, Ariella
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2011.01451

openalex publication_date 2020/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We examine when units in a field are the norms of elements in an extension\nfield, given certain conditions. We apply these results to the study of the\n\ℓ-class groups in lifts of the anti-cyclotomic \ℤ₂-extension of\n\ℚ(i).\n

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