CDIN-subgroup

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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 conjugacy-determined subgroup in its normalizer $N_{G}(H)$ relative to $G$.

Relation with other properties

Stronger properties

• SCDIN-subgroup
• Conjugacy-closed subgroup
• Sylow CDIN-subgroup
• Sylow TI-subgroup: For full proof, refer: Sylow and TI implies CDIN