Find all element of order 5 in $Z^*_{36}$
17316
If $a^\phi = 1$ then the order of $a$ divides $\phi$
26398
Group of even order contains an element of order 2
127603
If $G$ be a group of order $8$ and $x$ be a element of order $4$. Prove that $x^2 \in Z(G)$
109224
Accumulation points of $\{ 2^{-n} + 5^{-m} : n,m \geq 1 \}$
60858
An abelian group of order 6 has an element of order 6.
18767
How do you find the modular inverse of $5\pmod{\!11}$
1576
Finding the elements in the group of units of the ring of integers modulo n that are their own inverse.
45156
Every group of order $35$ is cyclic?
61550
Existence of elements of order $p^k$ in a finite group
68201
Cyclic group of order $n$
115746
Find the order of a subgroup of $S_5$ generated by two elements
123482
How to compute $\mathbb{Z}_n^*$, the unit group of the integers modulo $n$?
142038
Finding the number of elements of order two in the symmetric group $S_4$
131306
Prove that a group of order $2^5 \cdot 7^5$ is not simple
41231
Subgroups of (Z,+) of order n
48685
What five odd integers have a sum of $30$?
82083
Solving $(z+1)^5 = z^5$