# Center of a Group

Sounds great thank you

Last edited:

The 2x2 case is easy (for the general case, see e.g. www-math.mit.edu/~dav/genlin.pdf).

You want to find z such that zg=gz for all g in G.
Let z = {{z11,z12},{z21,z22}}
If you choose g = {{0,1},{1,0}} then you find that
z11 = z22 and z12 = z21
If you choose g = {{0,1},{-1,0}} then you get
z11 = z22 and z12 = -z21
Thus z12 = z21 = 0 and z must be a nonzero (real) http://en.wikipedia.org/wiki/Scalar_matrix" [Broken].

Last edited by a moderator:
HallsofIvy