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The query [[Fact about.Page::Nilpotent group]] [[Category:Group property implications]] was answered by the SMWSQLStore3 in 0.0093 seconds.

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Abelian implies nilpotent, Maximal among abelian normal implies self-centralizing in nilpotent, Nilpotent automorphism group implies nilpotent of class at most one more, Nilpotent implies center is normality-large, Nilpotent implies every maximal subgroup is normal, Nilpotent implies every nontrivial normal subgroup contains a cyclic normal subgroup, Nilpotent implies every subgroup is subnormal, Nilpotent implies normalizer condition, Prime power order implies nilpotent, Supersolvable implies nilpotent derived subgroup