Prüfer group
id:
pr-fer-group-307-9501018
title:
Prüfer group
text:
In mathematics, specifically in group theory, the Prüfer p-group or the p-quasicyclic group or p∞-group, Z(p∞), for a prime number p is the unique p-group in which every element has p different p-th roots. The Prüfer p-groups are countable abelian groups that are important in the classification of infinite abelian groups: they (along with the group of rational numbers) form the smallest building blocks of all divisible groups. The groups are named after Heinz Prüfer, a German mathematician of th
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Pr%C3%BCfer_group
date created:
date modified:
2023-12-07T01:57:36Z
main entity:
{"identifier":"Q2281199","url":"https://www.wikidata.org/entity/Q2281199"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/e/e8/Pr%C3%BCfer.png","width":1255,"height":901}
fields total:
13
integrity:
14