Question: Show by construction that there is only one possible group multiplication table for a group of three distinct elements {A, B, C}. Choose A =

Show by construction that there is only one possible group multiplication table for a group of three distinct elements {A, B, C}. Choose A = E (identity element) and explain why the products BC, CB, BB, and CC are uniquely dened by the group axioms. (Hint: for each product try all three possibilities and show that only one is possible)

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