Exercise 3.30 from Rotman's group theory book: applying Cayley's theorem
25404
Let $G$ be a group of order $2m$ where $m$ is odd. Prove that $G$ contains a normal subgroup of order $m$
61732
Prove any group with 3 elements is isomorphic to $\mathbb{Z}_3$
53357
Cyclic Group Generators of Order $n$
39938
Subgroups of a cyclic group and their order.
46940
On Groups of Order 315 with a unique sylow 3-subgroup .
64269
Finding the minimal $n$ such that a given finite group $G$ is a subgroup of $S_n$
85106
Group of order 10 has an element of order 5, without using Cauchy's or Sylow's theorems
42096
Direct product of Sylow subgroups
94095
Simple applications of group theory which can be understood by a senior undergrad
68971
Elementary approach to proving that a group of order 9 is Abelian
113357
Groups of order $pqr$ and their normal subgroups
89508
Existence of normal subgroups for a group of order $36$
152630
showing that a group of order 45 is abelian
25744
Multiplication in Permutation Groups Written in Cyclic Notation
72048
Finding Sylow 2-subgroups of the dihedral group $D_n$
128834
Proving the number of even and odd permutations of a subgroup $H<S_{n}$ are equal, provided $H$ is not contained in $A_{n}$
99346
Prove a result on transitive group actions.