Neukirch–Uchida theorem
id:
neukirch-uchida-theorem-295-16503281
title:
Neukirch–Uchida theorem
text:
In mathematics, the Neukirch–Uchida theorem shows that all problems about algebraic number fields can be reduced to problems about their absolute Galois groups.
Jürgen Neukirch (1969) showed that two algebraic number fields with the same absolute Galois group are isomorphic, and Kôji Uchida (1976) strengthened this by proving Neukirch's conjecture that automorphisms of the algebraic number field correspond to outer automorphisms of its absolute Galois group. Florian Pop (1990, 1994) extended the
brand slug:
wiki
category slug:
encyclopedia
description:
Algebraic number fields are determined by their absolute Galois groups
original url:
https://en.wikipedia.org/wiki/Neukirch%E2%80%93Uchida_theorem
date created:
date modified:
2022-05-04T00:36:31Z
main entity:
{"identifier":"Q17099374","url":"https://www.wikidata.org/entity/Q17099374"}
image:
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