Baer norm is strictly characteristic
This article gives the statement, and possibly proof, of the fact that for any group, the subgroup obtained by applying a given subgroup-defining function (i.e., Baer norm) always satisfies a particular subgroup property (i.e., strictly characteristic subgroup)}
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Statement
The Baer norm of a group (defined as the intersection of the normalizers of all its subgroups) is a strictly characteristic subgroup: any surjective endomorphism of the whole group maps it to within itself.