Number of finite groups of a given prime order
13734
Show that every group of prime order is cyclic
124140
Quick way to find the number of the group homomorphisms $\phi:{\bf Z}_3\to{\bf Z}_6$?
158282
Finite order of an element $f(g)$ of a homomorphism $f$
64269
Finding the minimal $n$ such that a given finite group $G$ is a subgroup of $S_n$
122125
Order of group element divides order of finite group
110708
On proving that a finitely generated group has a finite number of subgroups with index $n$.
38853
Cyclic group of prime order
142038
Finding the number of elements of order two in the symmetric group $S_4$
61546
Prove that for each prime $p$ there exists a nonabelian group of order $p^3$
106653
How many generator has a cyclic group of order n?
113936
Showing that a finite abelian group has a subgroup of order m for each divisor m of n
88344
Order of a group and subsequent subgroups
67272
Deduce that if $G$ is a finite $p$-group, the number of subgroups of $G$ that are not normal is divisible by $p$
8746
Groups of order $pq$ without using Sylow theorems
101735
A finite $p$-group cannot be simple unless it has order $p$
48393
Abelian groups of order n.
23885
Structure of a group, $G$, of order $pq$ where $p, q$ are prime.