Solvable extensions of number fields ramified at only one prime are Ostrowski

2023/07/21 by Ali Rajaei, Rajaei, Ali, Ehsan Shahoseini +1
Mathematics · #11R20 #11R29 #11R34 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2307.11510

openalex publication_date 2023/07/21 · openalex created_date 2023/07/25 · openalex updated_date 2026/07/28

Abstract

In this note, we show that, under a certain condition, solvable extensions of number fields ramifed at only one prime are Ostrowski. As a corollary, we deduce a generalization of Hilbert Theorem 94 to cyclic extensions ramifed at one prime.

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