Index of a subgroup
id:
index-of-a-subgroup-303-1578981
title:
Index of a subgroup
text:
In mathematics, specifically group theory, the index of a subgroup H in a group G is the number of left cosets of H in G, or equivalently, the number of right cosets of H in G.
The index is denoted | G : H | or [ G : H ] or .
Because G is the disjoint union of the left cosets and because each left coset has the same size as H, the index is related to the orders of the two groups by the formula.
Thus the index | G : H | measures the "relative sizes" of G and H. For example, let G = Z be the group
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematics group theory concept
original url:
https://en.wikipedia.org/wiki/Index_of_a_subgroup
date created:
date modified:
2023-05-11T12:53:45Z
main entity:
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image:
fields total:
13
integrity:
14