What we know about $\mathbb{Q}/\mathbb{Z}$ as a group? Are there any interesting properties?
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2026-03-28 08:49:03.1774687743
What we know about $\mathbb{Q}/\mathbb{Z}$ as a group?
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$\mathbb{Q}/\mathbb{Z}$ is the torsion group of $\mathbb{C}^{\times}$
$\mathbb{Q}/\mathbb{Z}$ is divisible
$\mathbb{Q}/\mathbb{Z}$ is dense in $S^{1}$
$\mathbb{Q}/\mathbb{Z}$ has a unique subgroup of order $n$ for every $n$
$\mathbb{Q}/\mathbb{Z}$ is not finitely generated