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In abstract algebra, the center of a group, G, is the set of elements that commute with every element of GIt is denoted Z(G), from German Zentrum, meaning centerIn setbuilder notation, Z(G) = { z ∈ G ∀g ∈ G, zg = gz}The center is a normal subgroup, Z(G) ⊲ GAs a subgroup, it is always characteristic, but is not necessarily fully characteristicS A ㍑ ی𗬃Z ^ A 21 I A { A { O ω A A O d A A 䌧 A ݏ / ߋE n ǁA y ʏȁA c s ψ A s A ی A l i j A _ C n c i j A d ́i j A O H ԁA i j A O z A i j N { ^ A i j q b g j I A A m a јJ g A _ C n c H Ɓi j ANTT h R A ꐻ @ i j T N N p X A O A { s A i jJTB A ㎑ i j A c i A s O H Y Ɛ i c A { A Љ o ϐ Y { A I { X p } P b g A { z A { ݎY Ƌ A t A ΘJ ҕ T r X Z ^ AX g J h ~ @ { s ꂽ B Q ҂Ƃ Ă͏ z 肳 Ă 悤 A ͂ ܃X g J Q ɂ Ă B X g L O Ă 鑊 ͏ ł B ́A ̍s ׂ X g L O Ƃ͔F Ă Ȃ B Q ҂ł 鎄 ɂƂ Ă̓X g J ȊO ̉ ł Ȃ B X g J ̔ Q ɂ Ă݂āA X g L O ꂽ l Ԃ u S ̏ v u v X Ƃ Ă킩 B ̐ _ ʂł̌o ɂ āA j ̎ I ͂Ȃ Ǝv B i A ق ̂ ̂͂ B ͏ Ȃ Ƃ ̓I C v ̋ ͊ Ă Ȃ j B ȉ A ̂ Ƃɂ ĊT Љ A ݂Ȃ ̎v l ̍ޗ ɂ Ă B
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