Subgroup
id:
subgroup-171-18489777
title:
Subgroup
text:
In group theory, a branch of mathematics, a subset of a group G is a subgroup of G if the members of that subset form a group with respect to the group operation in G. Formally, given a group G under a binary operation ∗, a subset H of G is called a subgroup of G if H also forms a group under the operation ∗. More precisely, H is a subgroup of G if the restriction of ∗ to H × H is a group operation on H. This is often denoted H ≤ G, read as "H is a subgroup of G". The trivial subgroup of any gro
brand slug:
wiki
category slug:
encyclopedia
description:
Subset of a group that forms a group itself
original url:
https://en.wikipedia.org/wiki/Subgroup
date created:
2001-09-09T16:33:16Z
date modified:
2024-09-01T16:43:08Z
main entity:
{"identifier":"Q466109","url":"https://www.wikidata.org/entity/Q466109"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/5f/Cyclic_group.svg","width":443,"height":431}
fields total:
13
integrity:
16