Comments (1)
ashutosh1206
commented on July 26, 2024
This issue happens due to the fact that we are choosing a random element a to generate an element that has an order p1e1, instead of using the generator to generate such an element. According to Theorem 4.13 in the Abstract Algebra textbook, if we select a generator a and calculate b = ak, then the order of the subgroup generated by b will be n / d, where d = GCD(k, n).
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