Resolvent (Galois theory)
id:
resolvent-galois-theory-207-13281196
title:
Resolvent (Galois theory)
text:
In Galois theory, a discipline within the field of abstract algebra, a resolvent for a permutation group G is a polynomial whose coefficients depend polynomially on the coefficients of a given polynomial p and has, roughly speaking, a rational root if and only if the Galois group of p is included in G. More exactly, if the Galois group is included in G, then the resolvent has a rational root, and the converse is true if the rational root is a simple root.
Resolvents were introduced by Joseph Lou
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Resolvent_(Galois_theory)
date created:
2012-11-06T20:24:27Z
date modified:
2024-09-11T01:54:45Z
main entity:
{"identifier":"Q4392490","url":"https://www.wikidata.org/entity/Q4392490"}
image:
fields total:
13
integrity:
14