Subgroup of$\mathbb{Z}$ and finite subgroup of $\mathbb{Z}$
41231
Subgroups of (Z,+) of order n
10816
Infinitely generated subgroup of a finitely one (weird)
116707
Prove or disprove: $(\mathbb{Z}^*, \cdot)$ and/or $(\mathbb{Z}^*, \div)$ is a group.
39469
If $P \leq G$, $Q\leq G$, are $P\cap Q$ and $P\cup Q$ subgroups of $G$?
86336
For $G$ group and $H$ subgroup of finite index, prove that $N \subset H$ normal subgroup of $G$ of finite index exists
47824
Calculation of subgroups of $(Z_{12}, +)$
75068
subgroups of $\mathbb Z / 2 \mathbb Z \times \mathbb Z / 2 \mathbb Z$
36709
subgroup of direct product of two groups
43750
Subgroups of finite solvable groups. Solvable?
150007
Prove that $(\mathbb{Z}_n , +)$, the integers $\pmod{n}$ under addition, is a group.
81354
The product of all the elements of a finite abelian group
2761
If $S$ is a nonempty subset of group $G$, then $S^{|G|}$ is a subgroup of $G$.
113936
Showing that a finite abelian group has a subgroup of order m for each divisor m of n
4648
Proving that $\mathbb{Z}_m\oplus \mathbb{Z}_n \cong \mathbb{Z}_d\oplus \mathbb{Z}_l $ as groups, where $l=\mathrm{lcm}(m,n)$ and $d=\gcd(m,n)$
51695
Finding all homomorphisms between $\mathbb{Z}/m\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$
95764
Prove that the additive groups $\mathbb{Z}$ and $\mathbb{Q}$ are not isomorphic.
116125
A group $G$ with $G'$ abelian and every abelian normal subgroup finite