P-centric subgroup

The article defines a subgroup property, where the definition may be in terms of a particular prime number that serves as parameter
View other prime-parametrized subgroup properties | View all subgroup properties

Definition

Suppose $G$ is a finite group and $p$ is a prime number. A subgroup $H$ of $G$ is termed a $p$-centric subgroup if the center $Z(H)$ is a $p$-Sylow subgroup of the centralizer $C_{G}(H)$.