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arXiv · 2508.17775

The 6-step Solvable Mono-anabelian Reconstruction of Abelian Number Fields

Yu Mao
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Abstract

In this paper, we develop a new method to reconstruct an abelian number field $K$ from the maximal $6$-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. 2025-08-25. The 6-step Solvable Mono-anabelian Reconstruction of Abelian Number Fields. https://arxiv.org/abs/2508.17775

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