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Subgroup Index


For a subgroup H of a group G, the index of H, denoted (G:H), is the cardinal number of the set of left cosets of H in G (which is equal to the cardinal number of the set of right cosets of H in G).


See also

Coset, Lagrange's Group Theorem, Left Coset, Right Coset

This entry contributed by Nicolas Bray

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Cite this as:

Bray, Nicolas. "Subgroup Index." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/SubgroupIndex.html

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