Element of order $l$ in $(\mathbb Z/p\mathbb Z)^\times$ where $p,l$ are primes.
39938
Subgroups of a cyclic group and their order.
123419
Abstract algebra: homomorphism and an element of a prime order
83654
Order of an element in a finite cyclic group
38853
Cyclic group of prime order
134820
$p$ prime, Group of order $p^n$ is cyclic iff it is an abelian group having a unique subgroup of order $p$
122125
Order of group element divides order of finite group
47239
For $p,q$ primes such that $q|p-1$, show there is only one non-abelian group of order $pq$, up to isomorphism
47186
$(1-\zeta_m)$ is a unit in $\mathbb{Z}[\zeta_m]$ if m contains at least two prime factors
120522
Showing any countable, dense, linear ordering is isomorphic to a subset of $\mathbb{Q}$
344
Prove that if $p\in \mathbb{Z}$ is irreducible, then it is also prime.
127978
Another point of view that $\mathbb{Z}/m\mathbb{Z} \times\mathbb{Z}/n\mathbb{Z}$ is cyclic.
138279
Multiplicative order and powers
121481
Non-abelian finite $p$-group in which every element has prime order?
79995
G is group of order pq, pq are primes
133019
Nilpotent elements in $\mathbb Z_n$
146304
prove $(n)$ prime ideal of $\mathbb{Z}$ iff $n$ is prime or zero
123796
Order of automorphism group of a $p$-group is divisible by $p$.