Primary cyclic group
id:
primary-cyclic-group-10-1550
title:
Primary cyclic group
text:
In mathematics, a primary cyclic group is a group that is both a cyclic group and a p-primary group for some prime number p.
That is, it is a cyclic group of order pm, Cpm, for some prime number p, and natural number m. Every finite abelian group G may be written as a finite direct sum of primary cyclic groups, as stated in the fundamental theorem of finite abelian groups: This expression is essentially unique: there is a bijection between the sets of groups in two such expressions, which maps e
brand slug:
wiki
category slug:
encyclopedia
description:
Type of group in mathematics
original url:
https://en.wikipedia.org/wiki/Primary_cyclic_group
date created:
date modified:
2023-08-12T23:34:37Z
main entity:
{"identifier":"Q16969335","url":"https://www.wikidata.org/entity/Q16969335"}
image:
fields total:
13
integrity:
14