Mono-anabelian Reconstruction of Number Fields with Restricted Ramification
Number Theory
2025-11-10 v1
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}.
Keywords
Cite
@article{arxiv.2511.05101,
title = {Mono-anabelian Reconstruction of Number Fields with Restricted Ramification},
author = {Yu Mao and Xiao Wang},
journal= {arXiv preprint arXiv:2511.05101},
year = {2025}
}