The query [[Fact about.Page::Abelian group]] [[Category:Group property implications]] was answered by the SMWSQLStore3 in 0.0095 seconds.
[[Fact about.Page::Abelian group]] [[Category:Group property implications]]
SMWSQLStore3
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
