Suppose that a finite group is generated by two elements a
Chapter 4, Problem 23SE(choose chapter or problem)
Suppose that a finite group is generated by two elements a and b (that is, every element of the group can be expressed as some product of a’s and b’s). Given that \(a^3= b^2 = e\) and \(ba^2 = ab\), construct the Cayley table for the group. We have already seen an example of a group that satisfies these conditions. Name it.
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