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

2025/08/25 by Mao, Yu
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2508.17775

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].

Citations

• The m-step Solvable Mono-anabelian Geometry of Number Fields
• The m-step solvable anabelian geometry of number fields

Related

• The m-step Solvable Mono-anabelian Geometry of Number Fields
• Mono-anabelian Reconstruction of Number Fields with Restricted Ramification
• The m-step solvable anabelian geometry of number fields
• The m-step Solvable Hom-Form of Birational Anabelian Geometry for Number Fields
• The m-step solvable anabelian geometry of mixed-characteristic local fields