Group of order $p^2$ is abelian.
13631
Showing group with $p^2$ elements is Abelian
127603
If $G$ be a group of order $8$ and $x$ be a element of order $4$. Prove that $x^2 \in Z(G)$
90332
Prove that that $U(n)$ is an abelian group.
74964
Showing Galois Group is Abelian
90449
Showing that a Sylow subgroup of a group of order $p^{2}q$ is normal.
143314
Sylow subgroup of $S_{p^2}$
43783
Abelian group (Commutative group)
108310
$(a_1 a_2 \cdots a_n)^2=e$ in a finite abelian group
7973
Groups of order $pq$ have a proper normal subgroup
8746
Groups of order $pq$ without using Sylow theorems
11113
Group With an Endomorphism That is "Almost" Abelian is Abelian.
152630
showing that a group of order 45 is abelian
3907
Abelian quotient group
108830
Let $G$ be a group of order $2p$ , where $p$ is a prime greater than $2$. Then, G is isomorphic to $\mathbb{Z}_{2p}$ or $D_p$
105139
Verification of Proof that a nonabelian group G of order pq where p and q are primes has a trivial center
2731
Groups of even order have an element whose order is 2.
70001
Any group of order $2p$ has a subgroup of order $p~$($p$ being a prime)