Use the gemerators and relations for D(sub2n)=<r,s/r^n=s^2=1,rs=sr^-1> to show that if x is any element of D2n, that is not a power of r, then rx=xr^-1.
Here D2n is the dihedral group of order 2n
A dihedral group of order 2n is contructed by 2 elements f and g, where geometrically saying, f is a reflection about x-axis, g is a rotation with angle 2pi/n.
We consider the n points on a unit circle. We use the polar system to represent the n points. ...
Dihedral Groups are investigated.