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Definition of the centre of a group in mathematics

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Answered by OrdinarySagarPatel
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In abstract algebra, the center of a group, G, is the set of elements that commute with every element of G. It is denoted Z(G), from German Zentrum, meaning center. In set-builder notation, Z(G) = {z ∈ G ∣ ∀g ∈ G, zg = gz} . ... The elements of the center are sometimes called central.

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