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Math Help - Group multiplication table

  1. #1
    Junior Member mathmonster's Avatar
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    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
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  2. #2
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    Quote Originally Posted by mathmonster View Post
    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?
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  3. #3
    Junior Member mathmonster's Avatar
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    thank you, yes that did help! how easy is that, lol!
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