Are groups of order $p^2$ abelian, $p$ prime?
13631
Showing group with $p^2$ elements is Abelian
37351
Group of Order $p^2$ Isomorphic to $\mathbb{Z}_{p^2}$ or $\mathbb{Z}_{p}$ $\times$ $\mathbb{Z}_{p}$
138108
If a normal subgroup $N$ of order $p$($p$ prime) is contained in a group $G$ of order $p^n$,then $N$ is in the center of $G$.
105139
Verification of Proof that a nonabelian group G of order pq where p and q are primes has a trivial center
22301
If $G$ has no proper subgroup, then $G$ is cyclic of prime order
57427
Group of order $8p$ is solvable, for any prime $p$
57809
For which $n$, $G$ is abelian?
7973
Groups of order $pq$ have a proper normal subgroup
43580
Let $p$ be a prime number and $G$ a non abelian group or order $p^3$. Prove that $Z(G) = [G,G]$.
152630
showing that a group of order 45 is abelian
157841
Existence of a non-abelian group of order $p^n$.
61546
Prove that for each prime $p$ there exists a nonabelian group of order $p^3$
152481
If order of group is $p^2$, where $p$ is prime, how can you deduce $G$ is isomorphic to $C_{p^2}$ or $C_p \times C_p$?
74586
Prove that every group of order $4$ is abelian
100605
let $G$ to be finite abelian group of order O(G), let n to be prime number and (O(G),n)=1 prove that $g=x^n$ for any $ x \in G$
90591
On the group of all complex roots of unity whose orders are powers of $p$, prime number
115427
Galois group of $\prod_{i=1}^{p-1} (X^2-i)$