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The center of a group $\text{[math]}$ (denoted $\text{[math]}$ ) is the set of all elements which commute with every element of the group. That is, the center of $\text{[math]}$ is $\text{[math]}$ .

Facts[edit]

If $\text{[math]}$ is a group, the center $\text{[math]}$ is a normal subgroup of $\text{[math]}$ .
We have $\text{[math]}$ if and only if $\text{[math]}$ is an abelian group.

External links[edit]

Center on MathWorld

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Center (group theory)

Facts[edit]

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