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Math Help - Operation Table

  1. #1
    Junior Member
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    Red face Operation Table

    Let G ={e,a,b} be a set containing three distinct elements and * be an operation on G such that {G,*} is a group with identity element e.

    a) Determine the operation table for *. ( Note there is only one possible solution to this problem.)

    b) Is your group abelian? What can you conclude about any group of order 3?
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  2. #2
    Super Member Matt Westwood's Avatar
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    The row and column for e are obvious. Then you can fill in the rest by trial and error - a fairly systematic approach will give the answer in no time.
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  3. #3
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    1. Operation table

    * e a b
    e e a b
    a a b e
    b b e a

    2. Just use the Abelian group definition from Abelian group - Wikipedia, the free encyclopedia
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