Inverse Galois problem
id:
inverse-galois-problem-210-4702298
title:
Inverse Galois problem
text:
In Galois theory, the inverse Galois problem concerns whether or not every finite group appears as the Galois group of some Galois extension of the rational numbers Q. This problem, first posed in the early 19th century, is unsolved. There are some permutation groups for which generic polynomials are known, which define all algebraic extensions of Q having a particular group as Galois group. These groups include all of degree no greater than 5. There also are groups known not to have generic pol
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Inverse_Galois_problem
date created:
2004-06-20T20:18:58Z
date modified:
2024-09-11T19:46:02Z
main entity:
{"identifier":"Q2358071","url":"https://www.wikidata.org/entity/Q2358071"}
image:
fields total:
13
integrity:
14