# Math Help - Group multiplication table

1. ## Group multiplication table

if i have a group G = {a,b,c} with binary operation *, and in the partial mulitplication table i have b*b = c and c*b = a, how can i go about finding

a*a, a*b, a*c, b*a etc obviously i can easily prove that b*c = a, but i've been trying for ages and i just cant get the answers for the others! thanks

2. Originally Posted by mathmonster
b*b = c and c*b = a
From what you have there you can see that b is not the identity and c is not the identity. Does that help?

3. thank you, yes that did help! how easy is that, lol!