Question

the centre of dihedral group D4 contains how many element.​

Answer 1

Answer:

2

Step-by-step explanation:

D 4 stands for the group of symmetries of the square.

Center of Dn contains only 1 if n is odd. if n is even it contain 1 and r^(n/2) elements.

In this case, we are looking for D4, so the number of elements in center will be 2 , which is 1 and r^2.