Example of a group acting of a set
140563
Concrete examples of group actions.
130745
Action of finite group of automorphisms on Spec A
130771
Sets and the principle of inclusion and exclusion
63701
An example of a regular function over an open set
128692
Example of an infinite group where every element except identity has order 2
117701
Let $G$ be a group and $X$ set. $a,b \in X$ are in the same orbit, so show that $stab(a) \cong stab (b)$
148399
Two sets which contain each other as elements
22783
Is the set $Z_n = \{ 0, 1, . . . , n-1 \}$ for $n ≥ 1$ is a group under addition modulo n?
13834
Show that G is a group, if G is finite, the operation is associative, and cancellation law holds
133762
A set which satisfies all conditions for a Group except associativity
35401
Examples of finite groups that are not a semidirect product
67554
In a group, the number of non-self-inverse elements is even
150961
An example for a homomorphism that is not an automorphism
43759
Prove that the set $\mathrm{Aut}(G)$ of all automorphisms of the group $G$ with the operation of taking the composition is a group
70034
Showing that this set of functions is a group.
90584
Show set of affine transformations is a group
141379
All groups where underlying set has at most 4 elements