Center
The center Z(G) is the set of elements that commute with every element
of G: Z(G) = { z : zg = gz for all g ∈ G }. It is an abelian
characteristic subgroup, and G is abelian exactly when Z(G) = G.
Finite Group DatabasebetaFinite Group DatabasebetaThe center Z(G) is the set of elements that commute with every element
of G: Z(G) = { z : zg = gz for all g ∈ G }. It is an abelian
characteristic subgroup, and G is abelian exactly when Z(G) = G.