Elementary abelian group
id:
elementary-abelian-group-209-835735
title:
Elementary abelian group
text:
In mathematics, specifically in group theory, an elementary abelian group is an abelian group in which all elements other than the identity have the same order. This common order must be a prime number, and the elementary abelian groups in which the common order is p are a particular kind of p-group. A group for which p = 2 is sometimes called a Boolean group. Every elementary abelian p-group is a vector space over the prime field with p elements, and conversely every such vector space is an ele
brand slug:
wiki
category slug:
encyclopedia
description:
Commutative group in which all nonzero elements have the same order
original url:
https://en.wikipedia.org/wiki/Elementary_abelian_group
date created:
2006-04-21T18:48:44Z
date modified:
2024-09-11T13:10:52Z
main entity:
{"identifier":"Q1017231","url":"https://www.wikidata.org/entity/Q1017231"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/5f/Cyclic_group.svg","width":443,"height":431}
fields total:
13
integrity:
16