What can we say about the number of generators in group $\mathbb{Z}^*_p$ ($p$ prime)?
53357
Cyclic Group Generators of Order $n$
106653
How many generator has a cyclic group of order n?
154305
Let $\pi$ denote a prime element in $\mathbb Z[i], \pi \notin \mathbb Z, i \mathbb Z$. Prove that $N(\pi)=2$ or $N(\pi)=p$, $p \equiv 1 \pmod 4$
124140
Quick way to find the number of the group homomorphisms $\phi:{\bf Z}_3\to{\bf Z}_6$?
147596
Number of solutions to $x^n=e$ in group $G$ is divisible by $n$
143069
What are the direct summands in $\mathbb{Z}^n$?
19740
What's are all the prime elements in Gaussian integers $\mathbb{Z}[i]$
118299
Show that $(\mathbb{Z}[x]/(x^{n+1}))^{\times}\cong \mathbb{Z}/2\mathbb{Z}\times\Pi_{i=1}^n\mathbb{Z}$
127814
Number of elements in the quotient ring $\mathbb{Z}_6 [x]/\langle 2x +4\rangle$
90591
On the group of all complex roots of unity whose orders are powers of $p$, prime number
38153
Looking for a simple proof that groups of order $2p$ are up to isomorphism $\mathbb{Z}_{2p}$ and $D_{p}$ .
99205
Group of order $p^k q$ where $p$ and $q$ are distinct primes - how to prove this property?
38853
Cyclic group of prime order
74150
Problem on the number of generators of some ideals in $k[x,y,z]$
50412
Prime elements in $\mathbb{Z}/n\mathbb{Z}$
128566
Proving $2$ generates $(\mathbb{Z}/19\mathbb{Z})^*$ by only looking at a few powers
96680
Generators of symmetric group $S_n$