Number of generators of $Z_n$ is $\varphi(n)$
53357
Cyclic Group Generators of Order $n$
110018
Conjugacy classes in $A_n$.
148413
Proving $S_n$ is generated by the set $\{(1\text{ }2),(2\text{ }3),\cdots,(n-1\text{ }n)\}$ of $n-1$ transpositions.
41448
Counting set for generating functions
46065
How do you find all $n$ such that $\phi(n)|n$
56898
Number of monomials of certain degree
104549
When $d \mid n$, the number of elements of order $d$ in a cyclic subgroup of order $n$ is $\phi (d)$
128899
How to find all generators for a cyclic group of order $n$?
18343
Counting homomorphisms between $\Bbb Z$ and $\Bbb Z_n$ and also between $\Bbb Z_n$ and $\Bbb Q$
137711
Alternative proof that $[\Bbb{Q}(\zeta_n) : \Bbb{Q} ]= \varphi(n)$ uses circular reasoning?
57309
Show that the free group on $n$ generators is a finite index subgroup of $F_2$
84132
Number of preimages of a group element under a homomorphism.
35712
Solve for n: $\varphi(2n)=\varphi(3n)$
9651
Cardinality of cartesian product of an infinite set with N
141984
Find the number of homomorphisms between $\mathbb{Z}_m$ and $\mathbb{Z}_n$
59134
Proving idempotent elements in $\mathbb{Z}_n$
28402
Number of bases of an n-dimensional vector space over q-element field.