proper subgroup

A proper subgroupMathworldPlanetmath of a group G is a subgroupMathworldPlanetmathPlanetmath H of G such that HG.

The only subgroup of G that is not a proper subgroup is G itself, which may therefore occasionally be called an improper subgroup.

Title proper subgroup
Canonical name ProperSubgroup
Date of creation 2013-03-22 12:49:10
Last modified on 2013-03-22 12:49:10
Owner yark (2760)
Last modified by yark (2760)
Numerical id 7
Author yark (2760)
Entry type Definition
Classification msc 20A99
Related topic Subgroup
Related topic Group
Defines improper subgroup