Let $p$ be a D571: Prime integer.

A D22: Group $H$ is a

**P-subgroup**of $G$ with respect to $p$ if and only if

(1) | $H$ is a D496: Subgroup of $G$ |

(2) | $H$ is a D1568: P-group with respect to $p$ |

Definition D1613

P-subgroup

Formulation 0

Let $G$ be a D22: Group.

Let $p$ be a D571: Prime integer.

A D22: Group $H$ is a**P-subgroup** of $G$ with respect to $p$ if and only if

Let $p$ be a D571: Prime integer.

A D22: Group $H$ is a

(1) | $H$ is a D496: Subgroup of $G$ |

(2) | $H$ is a D1568: P-group with respect to $p$ |