A criterion for isomorphism of finite abelian groups using fundamental theorem of finitely generated abelian groups
59811
Finite Abelian groups with the same number of elements for all orders are isomorphic
71420
Prove that a group is abelian.
4838
For $N\unlhd G$ , with $C_G(N)\subset N$ we have $G/N$ is abelian
93169
Show that $(\mathbb Z[x],+)$ and $(\mathbb Q_{>0},\cdot)$ are isomorphic groups
106809
$f: G→G$ defined by $f(x) =x^2$ is a homomorphism if and only if $G$ is abelian.
35913
Abelianization of free group is the free abelian group
47623
The set of all complex homomorphisms of abelian group $G$ has the same structure as $G$
139835
Every Finite Group is Isomorphic to a Subgroup of $A_n$
46116
Proof of the First Isomorphism Theorem for Groups
158892
Surjective endomorphism of abelian group is isomorphism
81543
Finite abelian group contains an element with order equal to the lcm of the orders of its elements
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
88928
$F:G\to B$ is an isomorphism between groups implies $F^{-1}$ is an isomorphism
95240
Show that $({\mathbb{Q}},+)$ is not finitely generated using the Fundamental Theorem of Finitely Generated Abelian Groups.
116125
A group $G$ with $G'$ abelian and every abelian normal subgroup finite
77757
Infer the second isomorphism theorem from the first one