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Normal subgroup
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==See also== {{div col}} ===Operations taking subgroups to subgroups=== *[[Normalizer]] *[[Normal closure (group theory)|Normal closure]] *[[Normal core]] ===Subgroup properties complementary (or opposite) to normality=== *[[Malnormal subgroup]] *[[Contranormal subgroup]] *[[Abnormal subgroup]] *[[Self-normalizing subgroup]] ===Subgroup properties stronger than normality=== *[[Characteristic subgroup]] *[[Fully characteristic subgroup]] ===Subgroup properties weaker than normality=== *[[Subnormal subgroup]] *[[Ascendant subgroup]] *[[Descendant subgroup]] *[[Quasinormal subgroup]] *[[Seminormal subgroup]] *[[Conjugate permutable subgroup]] *[[Modular subgroup]] *[[Pronormal subgroup]] *[[Paranormal subgroup]] *[[Polynormal subgroup]] *[[C-normal subgroup]] ===Related notions in algebra=== *[[Ideal (ring theory)]] *[[Semigroup ideal]] {{div col end}}
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