Correspondence theorem
id:
correspondence-theorem-319-16671540
title:
Correspondence theorem
text:
In group theory, the correspondence theorem states that if N is a normal subgroup of a group G , then there exists a bijection from the set of all subgroups A of G containing N , onto the set of all subgroups of the quotient group G / N . Loosely speaking, the structure of the subgroups of G / N is exactly the same as the structure of the subgroups of G containing N , with N collapsed to the identity element. Specifically, if then there is a bijective map ϕ : G → N :{\mathcal {G}}\to {\mathcal
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Correspondence_theorem
date created:
date modified:
2023-04-01T11:09:28Z
main entity:
{"identifier":"Q3527189","url":"https://www.wikidata.org/entity/Q3527189"}
image:
fields total:
13
integrity:
13