There is an element with order $p$
70001
Any group of order $2p$ has a subgroup of order $p~$($p$ being a prime)
120676
A certain element which makes functionals positive
83654
Order of an element in a finite cyclic group
134676
Number of elements of order $p$ is a multiple of $p-1$ (finite group).
100061
The Maximum possible order for an element $S_n$
17316
If $a^\phi = 1$ then the order of $a$ divides $\phi$
107010
How many elements of order $k$ are in $S_n$?
144394
Order 2 elements in finite characteristic field
37061
The order of $ab$ when $a,b$ commute
110464
Let $A=\{1,...,n\}.$ Show that there is a bijection of $P(A)$ with the cartesian product $X^n$ where $X$ is the two element set $X=\{0,1\}$
23885
Structure of a group, $G$, of order $pq$ where $p, q$ are prime.
94420
Dihedral group - elements of order $2$
2396
Order-preserving injections of ordinals into $[0,1]$
26398
Group of even order contains an element of order 2
2029
Elements order in a "for (… in …)" loop
79995
G is group of order pq, pq are primes
70967
Permutation with prime order, fixed point