Direct factor implies transitively normal
This article gives the statement and possibly, proof, of an implication relation between two subgroup properties. That is, it states that every subgroup satisfying the first subgroup property (i.e., direct factor) must also satisfy the second subgroup property (i.e., transitively normal subgroup)
View all subgroup property implications | View all subgroup property non-implications
Get more facts about direct factor|Get more facts about transitively normal subgroup
Proof using given facts
The proof follows from facts (1) and (2).