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

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].

Publication Details

Journal
ArXiv.org
Published
2025-08-25
Primary Topic
Geochemistry and Geologic Mapping
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The 6-step Solvable Mono-anabelian Reconstruction of Abelian Number Fields

ArXiv.org
Geochemistry and Geologic Mapping
article

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

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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].

ArXiv.org
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Geochemistry and Geologic Mapping
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The 6-step Solvable Mono-anabelian Reconstruction of Abelian Number Fields · ArXiv.org (2025) | TGRS Research Map | TGRS