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

Abstract

In this paper, we develop a new method to reconstruct an abelian number field K from the maximal 6-step solvable quotient of GK 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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