Finitely generated group
id:
finitely-generated-group-260-16908865
title:
Finitely generated group
text:
In algebra, a finitely generated group is a group G that has some finite generating set S so that every element of G can be written as the combination of finitely many elements of S and of inverses of such elements. By definition, every finite group is finitely generated, since S can be taken to be G itself. Every infinite finitely generated group must be countable but countable groups need not be finitely generated. The additive group of rational numbers Q is an example of a countable group tha
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Finitely_generated_group
date created:
date modified:
2023-11-13T01:35:09Z
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fields total:
13
integrity:
14