The relation of order of finite cyclic group and its generator
114187
In a finite cyclic group, the generator has the order of the group
65968
Prove that any two cyclic groups of the same order are isomorphic?
62035
Order of automorphism group of cyclic group
140673
how to find the order of an element in a quotient group
53357
Cyclic Group Generators of Order $n$
143550
Order of product of two elements in an abelian group
13355
Product of elements of a finite abelian group
117468
$o(g^{k})=\frac{o(g)}{\gcd(o(g),k)}$ order of a power of a group element.
102634
Order of the Rubik's cube group
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.
122959
How is number of conjugacy class related to the order of a group?
28913
How to find a generator of a cyclic group?
109053
Show that a finite cyclic group of order $n$ has exactly one subgroup of order $d$ dividing $n$ and these are all the subgroups it has
91782
Efficiently find the generators of a cyclic group
41731
Question about the order of the product of two elements in an abelian group
5089
An element of a group has the same order as its inverse
68201
Cyclic group of order $n$