Show that $\mathbb Z_{12} \times \mathbb Z_5$ is isomorphic to $\mathbb Z_{60}$
138058
Prove that $\mathbb Z_{m}\times\mathbb Z_{n} \cong \mathbb Z_{mn}$ implies $\gcd(m,n)=1$.
55393
Existence of a group isomorphism between $(\mathbb K,+)$ and $(\mathbb K^\times,\cdot)$
152306
Finding homomorphisms from $\mathbb Z_{12}$ to $\mathbb Z_{6}$.
47522
group generators of $(\mathbb Z_{17}-\{0\},\times)$
152457
$\mathbb Z_n$ is semisimple iff $n$ is square free
39965
Partition of $\mathbb{Z}_8$ into cosets of Ker(θ)
102112
Idempotents in $\mathbb Z_n$
98507
$\text{Aut}(F)$ is isomorphic to the multiplicative group of all $n\times n$ matrices over $\mathbb Z$
107687
How to prove that $U_{2^n}$ is isomorphic as group to $\mathbb Z_2 \times \mathbb Z_{2^{n-2}}$ for $n \ge 3$?
100439
Proving that a Galois group $Gal(E/Q)$ is isomorphic to $\mathbb{F}_p^\times$
135241
Show that $\mathbb{Z}/n^2\mathbb{Z}$ is not isomorphic to other group
137201
Classifying $\mathbb{Z} \times \mathbb{Z} \times \mathbb{Z} / \langle(3,3,3)\rangle$
34599
Number of ring homomorphisms from $\mathbb Z_{12}$ to $\mathbb Z_{28}$.
85752
Show that $M=\frac{\mathbb{Z}^3}{\langle (3,3,1),(2,2,2)\rangle}$ is isomorphic to $\mathbb{Z} \oplus \mathbb{Z}_4$ as $\mathbb{Z}$-modules
91222
Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $
120594
$\mathbb Z[i]/ \langle 1+2i \rangle \cong \mathbb Z_5$
26661
Ring homomorphisms from $\mathbb{Z}_n$ to $\mathbb{Z}_m$