Set of two cycles generate $S_n$
14139
$(12)$ and $(123\dots n)$ are generators of $S_n$
1558
Number of homomorphisms between two cyclic groups.
76504
Non-trivial cyclic group with unique generator
41448
Counting set for generating functions
31347
$A_n$ is generated by 3-cycles given $n\geq 3$. Is this proof correct?
128899
How to find all generators for a cyclic group of order $n$?
103146
Proof that the Rubik’s Cube group is 2-generated
4555
How to write permutations as product of disjoint cycles and transpositions
4776
Prove that the power set of an $n$-element set contains $2^n$ elements
151467
An infinite generating set of a finite dimensional vector space contains a basis
18141
Embedding $S_n$ into $A_{n+2}$
148285
Generator of group $D_n$
67926
$S_n$ is generated by elements of the form $(1k)$
123967
Proof of a generating functions formula
124467
Can $(X_1,X_2) \cap (X_3,X_4)$ be generated with two elements from $k[X_1,X_2,X_3,X_4]$?
131516
Subgroup generated by n-th powers of elements
57644
Lower bounds for ${{2n} \choose {n}}$