Decompose ${\mathbb{Z}_n}^{*} / ({\mathbb{Z}_n}^{*})^2$ into a direct sum of cyclic groups.
103866
decomposing a factor group into a direct sum of cyclic groups
124438
Find $|(\mathbb{Z} \oplus \mathbb{Z}) / \langle(3,6)\rangle|$ and determine if its cyclic
137422
$\mathrm{card}(\mathbb{Z}^n/M\mathbb{Z}^n) = |\det(M)|$?
5741
Direct product of abelian groups
130937
Embeddings of finite groups into $\mathrm{GL}_n(\mathbb{Z})$
24561
$\mathbb S_n$ as semidirect product
42096
Direct product of Sylow subgroups
128652
Subgroups of $\mathbb Z \times(\mathbb Z/n\mathbb Z)$
98155
Free products of cyclic groups
24203
Finding Zero Divisors and Units of Rings $\mathbb{Z}_n \times \mathbb{Z}_m$
101602
consider the group $G=\mathbb Q/\mathbb Z$. For $n>0$, is there a cyclic subgroup of order n
120097
Reference Request: Abelianization of free product is the direct sum of abelianizations
68128
Two term free resolution of an abelian group.
26661
Ring homomorphisms from $\mathbb{Z}_n$ to $\mathbb{Z}_m$
91782
Efficiently find the generators of a cyclic group
63803
Calculating the tensor product $\mathbb{Z}/n\mathbb{Z} \otimes_{\mathbb Z} \mathbb{Z}/n\mathbb{Z}$
158074
Cyclic group $G$ with generator $ab$.