Difference between revisions of "Center (group theory)"
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(New page: {{stub}} The '''center''' of a group G is the set of all elements which commute with every element of the group. That is, the center of G is <ma...) |
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The '''center''' of a [[Group (mathematics)|group]] G is the set of all elements which [[Commutativity|commute]] with every element of the group. That is, the center of G is <math>\{a \in G : ab=ba\ \forall b \in G\}</math>. | The '''center''' of a [[Group (mathematics)|group]] G is the set of all elements which [[Commutativity|commute]] with every element of the group. That is, the center of G is <math>\{a \in G : ab=ba\ \forall b \in G\}</math>. | ||
