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>. |