A question on p-groups, and order of its commutator subgroup
122970
A question on $p$-groups, and order of its commutator subgroup.
61550
Existence of elements of order $p^k$ in a finite group
142894
Showing that a group of order $pq$ is cyclic if it has normal subgroups of order $p$ and $q$
152481
If order of group is $p^2$, where $p$ is prime, how can you deduce $G$ is isomorphic to $C_{p^2}$ or $C_p \times C_p$?
33300
Showing order of $Z (G) =1$ or $pq$
17178
Order of $\phi(g)$ divides the order of $g$
75127
Group $G$ of order $p^2$: $\;G\cong \mathbb Z_{p^2}$ or $G\cong \mathbb Z_p \times \mathbb Z_p$
38153
Looking for a simple proof that groups of order $2p$ are up to isomorphism $\mathbb{Z}_{2p}$ and $D_{p}$ .
123796
Order of automorphism group of a $p$-group is divisible by $p$.
157806
Order of a element on a Symmetric Group
142938
Sylow 2-subgroups of the group $\mathrm{PSL}(2,q)$
117744
$p$-Sylow in quotient groups
143550
Order of product of two elements in an abelian group
15630
Normal subgroup of prime order is characteristic
16476
Order of the product of two commuting elements with coprime orders in a group.
83710
Order of a homomorphism of groups
68955
Characterising subgroups of Prüfer $p$-groups.