Hi

I have the following group presentation

G = a,b,c | ab = ba, ac = ca, bc = cb, a^2 = b^3 = c^3 = e.

I need to show that all the elements of G can be written in the standard form

a^ib^jc^k for i ∈{0,1} and j,k ∈{0,1,2}.

I'm not really sure how to go about this so any help would be great.

Thanks, Alex