Problem

Suppose that a finite group is generated by two elements a and b (that is, every element...

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 a3= b2 = e and ba2 = 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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