CDIN-subgroup

Definition
A subgroup $$H$$ of a group $$G$$ is termed a CDIN-subgroup, or is said to be conjugacy-determined in normalizer, if $$H$$ is a defining ingredient::conjugacy-determined subgroup in its normalizer $$N_G(H)$$ relative to $$G$$.

Stronger properties

 * Weaker than::SCDIN-subgroup
 * Weaker than::Conjugacy-closed subgroup
 * Weaker than::Sylow CDIN-subgroup
 * Weaker than::Sylow TI-subgroup: