Intermediately injective endomorphism-invariant subgroup

Symbol-free definition
A subgroup of a group is termed intermediately I-characteristic if it is an defining ingredient::injective endomorphism-invariant subgroup inside every intermediate subgroup.

Stronger properties

 * Weaker than::Isomorph-containing subgroup
 * Weaker than::Isomorph-free subgroup
 * Weaker than::Homomorph-containing subgroup
 * Weaker than::Intermediately fully invariant subgroup

Weaker properties

 * Stronger than::Intermediately characteristic subgroup
 * Stronger than::I-characteristic subgroup
 * Stronger than::Characteristic subgroup