Mono-anabelian Reconstruction of Number Fields with Restricted Ramification

2025/11/07 by Mao, Yu, Wang, Xiao
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2511.05101

Abstract

In this paper, we apply Hoshi's mono-anabelian reconstruction of number fields to establish a group-theoretic reconstruction of a number field K together with its maximal unramified outside S extension K_S for a density 1 subset of primes of K starting from the profinite group G_K,S.

Citations

• Isomorphisms of Galois groups of number fields with restricted ramification
• The Neukirch-Uchida theorem with restricted ramification
• On some anabelian properties of arithmetic curves
• A non-solvable Galois extension of \Q ramified at 2 only
• Corps de nombres peu ramifies et formes automorphes autoduales

Related

• The 6-step Solvable Mono-anabelian Reconstruction of Abelian Number Fields
• The m-step Solvable Mono-anabelian Geometry of Number Fields
• Isomorphisms of Galois groups of number fields with restricted ramification
• The Neukirch-Uchida theorem with restricted ramification
• The pro-C anabelian geometry of number fields