Proper Subgroup

A proper subgroup is a proper subset H of group elements of a group G that satisfies the four group requirements. "H is a proper subgroup of G" is written H subset G. The group order of any subgroup of a group of group order h must be a divisor of h.

See also

Group, Subgroup

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Cite this as:

Weisstein, Eric W. "Proper Subgroup." From MathWorld--A Wolfram Web Resource.

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