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H. That is, G = {(al)" : n ¬ Z}.
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Bounds for the number of generators of a finite group
TWO-GENERATOR CONDITIONS FOR POLYCYCLIC GROUPS the subgroup of G generated by JV and g could not be generated by two elements. S
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SOLVED: 1. Find all generators of Zo Zg; and Zzo" 2. Suppose that (a). (b), and (c) are cyelic groups of orders 6, 8, and 20, respectively. Find all generators of (a). (
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If a and a\" are both generators of a cyclhe group of order n, then (a) n must be
Cyclic group - Wikipedia
H. That is, G = {(al)" : n ¬ Z}.
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