What is Group center?
{{jargon|date=February 2024}} {{Orphan|date=May 2009}} In [[abstract algebra]] the center of a [[group (mathematics)|group]] G denoted by Z(G) is the set of elements which commute with every element of G, meaning that for any element x of a group G, and an element y of Z(G), xy = yx. The center is equal to the [[intersection]] of the [[centralizer]]s of the group elements. The notation Z(G) comes from the fact that in [[German language|German]] the word for center is ''Zentrum''. [[Category:Group theory]]