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
.