the order of an element of power k in a group G
97469
How to prove $|a^k|=n/\gcd(n,k)$ whenever $|a|=n$?
8746
Groups of order $pq$ without using Sylow theorems
110390
Order of group $GL_{2}\left( \mathbb{F}_{p}\right) $
5069
$GL_n(\mathbb F_q)$ has an element of order $q^n-1$
85579
$G$ a group s.t. every non-identity element has order 2. If $G$ is finite, prove $|G| = 2^n$ and $G \simeq C_2 \times C_2 \times\cdots\times C_2$
26398
Group of even order contains an element of order 2
156319
Show that a group with $|G| = 33$ contains an element of order $3$
83710
Order of a homomorphism of groups
103423
Normal subgroup where G has order prime
46687
Elements of $GL_{2}(\mathbb{Z})$ of finite order
104513
Order of elements in $Z_n$
30676
$G'$ and the product of all the elements in an odd order group
11957
G is the product of its Sylow subgroups
102429
There are 2 groups of order 6 (up to isomorphism)
50157
order of a sylow p-subgroup
94420
Dihedral group - elements of order $2$
38853
Cyclic group of prime order