Difference between revisions of "Center (group theory)"
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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]] <math>G</math> (denoted <math>Z(G)</math>) is the set of all elements which [[Commutativity|commute]] with every element of the group. That is, the center of <math>G</math> is <math>\{a \in G : ab=ba\ \forall b \in G\}</math>. |
==External Links== | ==External Links== | ||
*[http://mathworld.wolfram.com/GroupCenter.html Center] on MathWorld | *[http://mathworld.wolfram.com/GroupCenter.html Center] on MathWorld | ||
[[Category:Algebra]] | [[Category:Algebra]] | ||
