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Intermediate notions between [[commutator-in-center subgroup]] and [[cyclic normal subgroup]] | Intermediate notions between [[commutator-in-center subgroup]] and [[cyclic normal subgroup]]# |
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Abelian normal subgroup | Abelian normal subgroup |
Normal subgroup contained in centralizer of derived subgroup | Normal subgroup contained in centralizer of derived subgroup |
Normal subgroup whose automorphism group is abelian | Normal subgroup whose automorphism group is abelian |
Normal subgroup whose inner automorphism group is central in automorphism group | Normal subgroup whose inner automorphism group is central in automorphism group |