query: When is $(\Bbb Z/n\Bbb Z)^\times$ cyclic?
positive_passages.docid: 84823
positive_passages.text: When is the group of units in $\mathbb{Z}_n$ cyclic?
negative_passages.docid: 128652
negative_passages.text: Subgroups of $\mathbb Z \times(\mathbb Z/n\mathbb Z)$
negative_passages.docid: 44496
negative_passages.text: Norm $N$ on $\Bbb Z[\sqrt d]$ is multiplicative, $N(x)$ prime $\Rightarrow x$ irreducible
negative_passages.docid: 104460
negative_passages.text: When a group is cyclic
negative_passages.docid: 107716
negative_passages.text: Show that $G$ is cyclic
negative_passages.docid: 122312
negative_passages.text: How can I compute $\mathrm{Aut}(\mathbb{Z}/4\mathbb{Z}\times\mathbb{Z}/6\mathbb{Z})$?
negative_passages.docid: 132059
negative_passages.text: Minimal polynomials and cyclic subspaces
negative_passages.docid: 77799
negative_passages.text: Determine the set of units $(\Bbb Z/n\Bbb Z)^\times$ for different values of $n$
negative_passages.docid: 137186
negative_passages.text: Let G be $\mathbb Z_p\times\dots\times \mathbb Z_p$ . Find A(G).
negative_passages.docid: 66169
negative_passages.text: Ring of order $n$ is isomorphic to $\Bbb Z/n\Bbb Z$, with $n$ square-free
negative_passages.docid: 6161
negative_passages.text: The cartesian product $\mathbb{N} \times \mathbb{N}$ is countable
negative_passages.docid: 35034
negative_passages.text: Multiplicative inverses for $Z_n$
negative_passages.docid: 24203
negative_passages.text: Finding Zero Divisors and Units of Rings $\mathbb{Z}_n \times \mathbb{Z}_m$
negative_passages.docid: 62566
negative_passages.text: Does $X\times S^1\cong Y\times S^1$ imply that $X\times\mathbb R\cong Y\times\mathbb R$?
negative_passages.docid: 53357
negative_passages.text: Cyclic Group Generators of Order $n$
negative_passages.docid: 136448
negative_passages.text: $ABAB=0_{n\times n}$, then must $BABA$ be $0_{n\times n}$?
negative_passages.docid: 84
negative_passages.text: For what $n$ is $U_n$ cyclic?