Symmetric Group $S_n$ is generated by transpositions.
14139
$(12)$ and $(123\dots n)$ are generators of $S_n$
53357
Cyclic Group Generators of Order $n$
57309
Show that the free group on $n$ generators is a finite index subgroup of $F_2$
58108
The alternating group is generated by three-cycles
57221
counting the number of elements in a conjugacy class of $S_n$
11627
Find the center of the symmetry group $S_n$.
25744
Multiplication in Permutation Groups Written in Cyclic Notation
158074
Cyclic group $G$ with generator $ab$.
61046
General construction of $W_n$-state
149609
Conditions on cycle types for permutations to generate $S_n$
141258
Why does $M \mathbin{\otimes_R} N \cong M_\mathfrak{p} \mathbin{\otimes_{R_\mathfrak{p}}} N$?
18141
Embedding $S_n$ into $A_{n+2}$
72853
What is the number of automorphisms (including identity) for permutation group $S_3$ on 3 letters?
122580
If N is elementary nilpotent matrix, show that N Transpose is similar to N
52089
Group of $2n$ elements, $n$ odd, is not simple
10998
Embedding $S_n$ in $A_{2n}$
131516
Subgroup generated by n-th powers of elements