center of group
The center \(Z(G)\) of a group \(G\) is \(Z(G) = \{z \in G | \forall g \in G, zg=gz\}\)
The center is always a normal subgroup
- What to think about. \(U(1)\) is the center of \(U(2)\) (see projective unitary group)
The center \(Z(G)\) of a group \(G\) is \(Z(G) = \{z \in G | \forall g \in G, zg=gz\}\)
The center is always a normal subgroup
Created: 2024-07-15 Mon 01:27