Center of pronormal subgroup

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Definition

A subgroup $H$ of a group $G$ is termed a center of pronormal subgroup if there exists a pronormal subgroup $K$ of $G$ such that $H$ equals the center of $K$.

Relation with other properties

Stronger properties

• Abelian pronormal subgroup
• Pronormal subgroup
• Center of Sylow subgroup

Weaker properties

• SCDIN-subgroup