Normal subgroup of Sylow subgroup

From Groupprops
Jump to: navigation, search
This page describes a subgroup property obtained as a composition of two fundamental subgroup properties: normal subgroup and Sylow subgroup
View other such compositions|View all subgroup properties

Definition

A subgroup of a finite group is termed a normal subgroup of Sylow subgroup if it can be expressed as a normal subgroup of a p-Sylow subgroup of the whole for some prime p.

Relation with other properties

Stronger properties

Weaker properties