How would in proceed in finding a subgroup of $\mathbb Z_{108}$ of order 9 ?
2026-04-12 08:21:28.1775982088
Subgroup of $Z_{108}$ of order 9
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I would compute the number $a=\frac{108}9$ and consider the subgroup$$\{0,a,2a,\ldots,8a\}.$$