BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
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]
Definition with symbols
A subgroup of a group is termed a NSCFN-subgroup if , is fully normalized in , and .
Equivalently, is a NSCFN-subgroup of if is a normal subgroup of , and the induced homomorphism induced by the conjugation action is surjective with kernel equal to .