English

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

Number Theory 2025-11-21 v2

Abstract

In this paper, we develop a new method to reconstruct an abelian number field KK from the maximal 66-step solvable quotient of GKG_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].

Keywords

Cite

@article{arxiv.2508.17775,
  title  = {The 6-step Solvable Mono-anabelian Reconstruction of Abelian Number Fields},
  author = {Yu Mao},
  journal= {arXiv preprint arXiv:2508.17775},
  year   = {2025}
}