P-group
id:
p-group-249-2746288
title:
P-group
text:
In mathematics, specifically group theory, given a prime number p, a p-group is a group in which the order of every element is a power of p. That is, for each element g of a p-group G, there exists a nonnegative integer n such that the product of pn copies of g, and not fewer, is equal to the identity element. The orders of different elements may be different powers of p. Abelian p-groups are also called p-primary or simply primary. A finite group is a p-group if and only if its order is a power
brand slug:
wiki
category slug:
encyclopedia
description:
Group in which the order of every element is a power of p
original url:
https://en.wikipedia.org/wiki/P-group
date created:
date modified:
2023-10-25T13:08:01Z
main entity:
{"identifier":"Q286972","url":"https://www.wikidata.org/entity/Q286972"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/5f/Cyclic_group.svg","width":443,"height":431}
fields total:
13
integrity:
15