Group $G$ acts faithfully on a set $X$ of 5 objects?
104980
Possibilities for a group $G$ that acts faithfully on a set of objects with two orbits?
122271
A subset of a transitive set is transitive
91774
Existence of group $G$ with $|G|>2$ and automorphism group of odd order
3439
Other proofs that subgroups of $A_5$ have order at most 12
46001
Can a finite group act freely (as homeomorphisms) on $\mathbb R^n$
103002
Group equals union of two subgroups
933
How many groups exist with order $n$ (two isomorphic groups are treated as the same group)
89234
Any Set with Associativity, Left Identity, Left Inverse is a Group
47617
Are groups with all the same Hom sets already isomorphic?
130745
Action of finite group of automorphisms on Spec A
10602
Monotone Union of subgroups being subgroup
145127
For any integers $m,n>1$ , does there exist a group $G$ with elements $a,b \in G$ such that $o(a)=m , o(b)=n$ but $ab$ has infinite order ?
8742
Examples and further results about the order of the product of two elements in a group
124150
Faithful representation implies group is cyclic
151025
If G is a group of order n=35, then it is cyclic
60075
Does there exist an $n$ such that all groups of order $n$ are Abelian?
24181
Showing that $G$ is a group under an alternative operation.