The 5-step Solvable Mono-anabelian Reconstruction of Abelian Number Fields

Published 25 Aug 2025 in math.NT | (2508.17775v1)

Abstract: In this paper, we develop a new method to reconstruct an abelian number field $K$ from the maximal $5$-step solvable quotient of $G_K$ group- theoretically. The new aspect of this paper is that the results in this paper are independent from the bi-anabelian results proved proven by Saidi and Tamagawa in [ST22].

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Yu Mao

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