# Centralizer of derived subgroup contains Baer norm

From Groupprops

This article gives the statement, and possibly proof, of the subgroup obtained from one subgroup-defining function, namely Baer norm, always being contained in the subgroup obtained from another subgroup-defining function, namely centralizer of derived subgroup.

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## Statement

For any group, the Baer norm (given as the intersection of the normalizers of all subgroups) is contained in the centralizer of derived subgroup.