Is $\mathbb Z^{\mathbb N}$ a free abelian group?
124864
A not free $\mathbb{Z}$-module
5741
Direct product of abelian groups
46001
Can a finite group act freely (as homeomorphisms) on $\mathbb R^n$
43783
Abelian group (Commutative group)
13761
Automorphisms in $\mathbb{Z}_n$
32108
$ a\in \Bbb Z_n$ is invertible $\,\Rightarrow\gcd (a,n) =1$
27472
Prove that $PSL(2,\mathbb{Z})$ is free product of $C_2$ and $C_3$
16559
Difference between $\mathbb{Z}/n\mathbb{Z}$ and $\mathbb{Z}_n$
3907
Abelian quotient group
11003
Proving that $G/N$ is an abelian group
97878
Are there uncountably many surjections from $\mathbb N$ to $\mathbb N$?
80849
There does not exist group $G$ such that Aut$(G)\cong \mathbb{Z}_n$ (for odd $n$)
120594
$\mathbb Z[i]/ \langle 1+2i \rangle \cong \mathbb Z_5$
60208
Proof of property of abelian group
80976
Direct Product Of Abelian Group
157915
Isomorphism between the group $(\mathbb Z[x], +)$ and $(\mathbb Q_{>0}, .)$
93029
Prove that when $d$ is in $\mathbb{Q} \setminus\mathbb{Z}$, $\mathbb{Z}[\sqrt{d}]$ is not a finitely generated abelian group.