How to solve the exercise: "Find out if the groups $(\mathbb{Z}_2\times\mathbb{Z}_2,+)$ and $(\mathbb{Z}_4,+)$ can or not form an isomorphism"?
53327
$C_2 \times C_2$ and $C_4$
122312
How can I compute $\mathrm{Aut}(\mathbb{Z}/4\mathbb{Z}\times\mathbb{Z}/6\mathbb{Z})$?
53331
$\mathbb{Q}(\sqrt2, \sqrt3)$ is not isomorphic to $\mathbb{Q}(\sqrt[4]2)$
75127
Group $G$ of order $p^2$: $\;G\cong \mathbb Z_{p^2}$ or $G\cong \mathbb Z_p \times \mathbb Z_p$
95764
Prove that the additive groups $\mathbb{Z}$ and $\mathbb{Q}$ are not isomorphic.
933
How many groups exist with order $n$ (two isomorphic groups are treated as the same group)
37351
Group of Order $p^2$ Isomorphic to $\mathbb{Z}_{p^2}$ or $\mathbb{Z}_{p}$ $\times$ $\mathbb{Z}_{p}$
129157
An exercise on isomorphic groups of order 24
120035
Pattern in Isomorphisms between $\mathbb Z_m \times \mathbb Z_n$ and $\mathbb Z_{mn}$
13717
Homomorphisms from $S_4$ to $\mathbb Z_2$
90433
Isomorphisms between $(\mathbb Z_4,+)$ and $(U_5,*)$
75068
subgroups of $\mathbb Z / 2 \mathbb Z \times \mathbb Z / 2 \mathbb Z$
94296
Classifying the factor group $(\mathbb{Z} \times \mathbb{Z})/\langle (2, 2) \rangle$
32428
Group homomorphisms and which of the following statements are true (NBHM-$2014$)
119648
For which $n$ and $k$ are there nontrivial homomorphisms from $S_n$ to $\mathbb{Z}/k\mathbb{Z}$?
95229
Qualifying Exam Question On Elementary Group Theory
67374
Is it true that $\mathbb{R}$ and $\mathbb{R}^2$ are isomorphic as abelian groups?