Mono-anabelian Reconstruction of Number Fields with Restricted Ramification

Fuente: arXiv
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Auteurs principaux: Mao, Yu, Wang, Xiao
Format: Preprint
Publié: 2025
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author Mao, Yu
Wang, Xiao
author_facet Mao, Yu
Wang, Xiao
contents 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}.
format Preprint
id arxiv_https___arxiv_org_abs_2511_05101
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Mono-anabelian Reconstruction of Number Fields with Restricted Ramification
Mao, Yu
Wang, Xiao
Number Theory
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}.
title Mono-anabelian Reconstruction of Number Fields with Restricted Ramification
topic Number Theory
url https://arxiv.org/abs/2511.05101