# Weakly closed implies relatively normal

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This article gives the statement and possibly, proof, of an implication relation between two subgroup-of-subgroup properties. That is, it states that every subgroup-of-subgroup satisfying the first subgroup-of-subgroup property (i.e., weakly closed subgroup) must also satisfy the second subgroup-of-subgroup property (i.e., relatively normal subgroup)

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## Statement

Suppose are such that is a Weakly closed subgroup (?) of relative to . Then, is a Normal subgroup (?) of . In other words, is a Relatively normal subgroup (?) in with respect to .