Isomorphism Types of Abelian Groups?
48393
Abelian groups of order n.
2254
Finite group with isomorphic normal subgroups and non-isomorphic quotients?
120035
Pattern in Isomorphisms between $\mathbb Z_m \times \mathbb Z_n$ and $\mathbb Z_{mn}$
25439
f(a) = inverse of a is an isomorphism iff a group G is Abelian
18048
Easy criteria to determine isomorphism of fields?
157040
For groups $A,B,C$, if $A\times B$ and $A\times C$ are isomorphic do we have $B$ isomorphic to $C$?
94090
How to show that for any abelian group $G$, $\text{Hom}(\mathbb{Z},G)$ is isomorphic to $G$
151862
Is any subgroup of a direct product isomorphic to a direct product of subgroups?
64372
Do the isomorphism's of groups form an equivalence relation on the class of all groups?
33455
Question on group homomorphisms involving the standard Z-basis
37351
Group of Order $p^2$ Isomorphic to $\mathbb{Z}_{p^2}$ or $\mathbb{Z}_{p}$ $\times$ $\mathbb{Z}_{p}$
13631
Showing group with $p^2$ elements is Abelian
108213
$N_1,N_2,N_3 \unlhd G, N_i\cap N_j =\{e\}, G = N_iN_j$. Want to show that $G$ is abelian, $N_i$ are isomorphic.
18182
An abelian group $G$ with ${\rm Aut}(G)$ non-abelian
31380
Exponent and abelian groups
64419
How to construct a homomorphism from an abelian group to $\mathbb{Q}/\mathbb{Z}$?
65968
Prove that any two cyclic groups of the same order are isomorphic?