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>.
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The '''center''' of a [[DEVIL WORSHIPPERS|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>.
  
 
==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]]

Revision as of 08:01, May 15, 2010

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 .

External Links