The center of a group is the set of elements which commute with every element of the group. It is equal to the intersection of the centralizers of the group elements.
Group Center
See also
Centralizer, Isoclinic Groups, Nilpotent GroupExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Group Center." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GroupCenter.html