Generating set of a group
id:
generating-set-of-a-group-253-15711223
title:
Generating set of a group
text:
In abstract algebra, a generating set of a group is a subset of the group set such that every element of the group can be expressed as a combination of finitely many elements of the subset and their inverses. In other words, if S is a subset of a group G , then ⟨ S ⟩ , the subgroup generated by S , is the smallest subgroup of G containing every element of S , which is equal to the intersection over all subgroups containing the elements of S ; equivalently, ⟨ S ⟩ is the subgroup of all elements o
brand slug:
wiki
category slug:
encyclopedia
description:
Abstract algebra concept
original url:
https://en.wikipedia.org/wiki/Generating_set_of_a_group
date created:
date modified:
2023-05-16T14:56:35Z
main entity:
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/4/40/One5Root.svg","width":480,"height":480}
fields total:
13
integrity:
15