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

Published 21 Jul 2023 in math.NT | (2307.11510v1)

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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