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The query [[Fact about.Page::Central subgroup]] [[Category:Subgroup property implications]] was answered by the SMWSQLStore3 in 0.0249 seconds.

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Central implies abelian normal, Central implies finite-pi-potentially verbal in finite, Central implies image-potentially characteristic, Central implies normal, Central implies normal satisfying the subgroup-to-quotient powering-invariance implication, Central implies potentially characteristic, Central implies potentially fully invariant in finite, Central implies potentially verbal in finite, Central subgroup implies join-transitively central factor, Minimal characteristic implies central in nilpotent, Minimal normal implies central in nilpotent group