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The query [[Fact about.Page::Abelian group]] [[Category:Group property implications]] was answered by the SMWSQLStore3 in 0.0088 seconds.

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Abelian implies every element is automorphic to its inverse, Abelian implies nilpotent, Abelian implies self-centralizing in holomorph, Cyclic implies abelian, Finite abelian implies same orbit sizes of conjugacy classes and irreducible representations under automorphism group

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