This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]
BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
A subgroup of a group is said to be a DRC-subgroup if its characteristic closure is the direct product of itself with subgroups isomorphic to it, viz its characteristic closure is a direct power of it, or equivalently, if it is a direct root in its characteristic closure.
Relation with other properties
- Direct root
- Characteristic subgroup
- Minimal normal subgroup: For full proof, refer: Minimal normal implies DRC