Verification: Determining the order of factor group $G=(\mathbb Z \oplus \mathbb Z)/\langle(2,2)\rangle$. Is the group cyclic?
94296
Classifying the factor group $(\mathbb{Z} \times \mathbb{Z})/\langle (2, 2) \rangle$
23517
Presentation $\langle x,y,z\mid xyx^{-1}y^{-2},yzy^{-1}z^{-2},zxz^{-1}x^{-2}\rangle$ of group equal to trivial group
94239
Proof that if group $G/Z(G)$ is cyclic, then $G$ is commutative
32620
Is every group of order $21$ cyclic?
23394
If $G/Z(G)$ is cyclic, then $G$ is abelian
102634
Order of the Rubik's cube group
101602
consider the group $G=\mathbb Q/\mathbb Z$. For $n>0$, is there a cyclic subgroup of order n
56607
gcd and order of elements of group
120594
$\mathbb Z[i]/ \langle 1+2i \rangle \cong \mathbb Z_5$
30676
$G'$ and the product of all the elements in an odd order group
126098
Isomorphism of factor groups
145112
Show that the multiplicative group $(\mathbb{Z}/p\mathbb{Z})^*$ is cyclic
157806
Order of a element on a Symmetric Group
15387
Order of $GL(n, \mathbb Z_p)$
33300
Showing order of $Z (G) =1$ or $pq$
79055
Orders of a symmetric group
88344
Order of a group and subsequent subgroups