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SNOQIT I: Growth of Λ-modules and Kummer theory

2011/05/30 by Preda Mihăilescu, Preda Mihailescu, Mihailescu, Preda
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Meromorphic and Entire Functions #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1105.5989

arxiv created 2011/05/30 · openalex publication_date 2011/05/30 · arxiv updated 2011/05/31 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

The paper contains at the end a proof of the conjecture of Gross - Kuz'min, for CM extensions of Q. The main topic of the paper is the investigation of the growth of order and ranks at finite levels of some Lambda modules (p-parts of ideal class groups).

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