One particular permutation $\sigma $ of $5$ elements such that $\sigma ^{-1} (j) \le \sigma (j)$
44480
Let $\sigma :\{1,2,3,4,5\} \rightarrow \{1,2,3,4,5\}$ be permutations such that $ \sigma^{-1}(j) \leq \sigma(j)~\forall j, 1 \leq j \leq 5$.
157806
Order of a element on a Symmetric Group
66708
Elementary isomorphism between $\operatorname{PSL}(2,5)$ and $A_5$
47550
Number of distinct arrangements {$n_i$} $n_1<n_2<n_3<n_4<n_5$ such that $\sum n_i=20$
128834
Proving the number of even and odd permutations of a subgroup $H<S_{n}$ are equal, provided $H$ is not contained in $A_{n}$
40763
Possible orders of permutations of $11$ symbols
14383
Order of Permutation : If $\tau \in S_n$ has order $m$, then $\sigma \tau\sigma^{-1}$ has also order $m$.
24212
proving how many permutations exist.
67949
$S_3$ permutes the elements of $\mathbb{R}^3$, show that $\sigma (x_1, x_2, x_3) = ( x_{\sigma^{-1}(1)}, x_{\sigma^{-1}(2)}, x_{\sigma^{-1}(3)})$.
3439
Other proofs that subgroups of $A_5$ have order at most 12
21568
Maximal order of an element in a symmetric group
81505
Derangement of $n$ elements
126025
Computing the inverse of a permutation
83837
Odd/Even Permutations
73323
Permutations when some objects are alike
107725
Prove that if $n$ is not divisible by $5$, then $n^4 \equiv 1 \pmod{5}$
8742
Examples and further results about the order of the product of two elements in a group