Sums of orders of elements of finite groups
29051
If I know the order of every element in a group, do I know the group?
140673
how to find the order of an element in a quotient group
53357
Cyclic Group Generators of Order $n$
1577
Order of nontrivial elements is 2 implies Abelian group
81543
Finite abelian group contains an element with order equal to the lcm of the orders of its elements
92750
Groups where all elements are order 3
46687
Elements of $GL_{2}(\mathbb{Z})$ of finite order
142421
Conjugacy Classes in Finite Groups
114590
Prove that any finite group $G$ of even order contains an element of order $2.$
119758
On the order of elements of $\mathrm{GL}(2,q)$.
15526
Question on groups of order $pq$
8742
Examples and further results about the order of the product of two elements in a group
8746
Groups of order $pq$ without using Sylow theorems
104513
Order of elements in $Z_n$
85579
$G$ a group s.t. every non-identity element has order 2. If $G$ is finite, prove $|G| = 2^n$ and $G \simeq C_2 \times C_2 \times\cdots\times C_2$
41731
Question about the order of the product of two elements in an abelian group
134676
Number of elements of order $p$ is a multiple of $p-1$ (finite group).