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Let G be a group containing 6 elements a, b, c, d, e, and f. Under...

Let G be a group containing 6 elements a, b, c, d, e, and f. Under the group operation called the multiplication, we know that ad=c, bd=f, and f^2=bc=e. Which element is cf? How about af? Now find a^2. Justify your answer.

Hint: Find the identify first. Then figure out cb.  

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