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 second center.
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This result is due to Schenckman, and was proved in 1960. PLACEHOLDER FOR INFORMATION TO BE FILLED IN
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It follows from Cooper's theorem
The second center of a group, i.e., the second member of its upper central series, contains the Baer norm of the group, i.e., the intersection of the normalizers of all the subgroups.
- Cooper's theorem: Cooper's theorem states that every power automorphism centralizes every inner automorphism.