what is the maximom order of an element is $\mathbb S_{15}$
100061
The Maximum possible order for an element $S_n$
5069
$GL_n(\mathbb F_q)$ has an element of order $q^n-1$
158799
Order of $G$ is 35, are there elements of order 5 and 7 in G?
33216
Prove that the order of an element in $S_n$ equals the least common multiple of the lengths of the cycles in its cycle decomposition.
56647
Structure of $Gal(\mathbb{Q}(\zeta_{15})/\mathbb{Q})$?
110390
Order of group $GL_{2}\left( \mathbb{F}_{p}\right) $
14383
Order of Permutation : If $\tau \in S_n$ has order $m$, then $\sigma \tau\sigma^{-1}$ has also order $m$.
78283
Centralizer of a given element in $S_n$?
6030
Group of order 15 is abelian
134455
Any group of order $15$ is abelian(without sylow theorem)
81116
$gh = hg, \ \gcd(|g|, |h|) = 1\Rightarrow|gh| = |g||h|\ \ (|a|$ = order of element $a)$
18881
Number of elements of order $7$ in a group
3703
Order of finite fields is $p^n$
96127
Maximum of $|\sin(z)|$ as $\{z: |z| \leq 1 \} $
38083
Order of conjugate of an element given the order of its conjugate
56234
Isomorphism $f$ preserves the order of an element?
95081
Ordering on complex numbers