Prove or disprove: For every integer $n$, the quotient group of $\Bbb Z/n\Bbb Z$ modulo any subgroup is cyclic.
98145
If $G$ is cyclic then $G/H$ is cyclic?
53357
Cyclic Group Generators of Order $n$
152662
Proving that any finite cyclic group of order $n$ is isomorphic to $$
2304
What is the quotient of a cyclic group of order $n$ by a cyclic subgroup of order $m$?
101345
Suppose $n$ is an even positive integer and $H$ is a subgroup of $\mathbb Z/n \mathbb Z$. Prove that either every element of $H$ is...
101596
Determine group G as cyclic
145112
Show that the multiplicative group $(\mathbb{Z}/p\mathbb{Z})^*$ is cyclic
22783
Is the set $Z_n = \{ 0, 1, . . . , n-1 \}$ for $n ≥ 1$ is a group under addition modulo n?
51896
Prove that: set $\{1, 2, 3, ..., n - 1\}$ is group under multiplication modulo $n$?
104460
When a group is cyclic
132725
Is $\mathbb{Z}/\langle n\rangle$ cyclic and of order $n$?
144258
How to show a group is cyclic?
84823
When is the group of units in $\mathbb{Z}_n$ cyclic?
127306
Is the group of units of a finite ring cyclic?
30752
Proof of $(\mathbb{Z}/m\mathbb{Z}) \otimes_\mathbb{Z} (\mathbb{Z} / n \mathbb{Z}) \cong \mathbb{Z}/ \gcd(m,n)\mathbb{Z}$
124438
Find $|(\mathbb{Z} \oplus \mathbb{Z}) / \langle(3,6)\rangle|$ and determine if its cyclic
92430
Show that the group is cyclic.