Determine a generator g of the group Z×p where p is prime
91782
Efficiently find the generators of a cyclic group
79995
G is group of order pq, pq are primes
122970
A question on $p$-groups, and order of its commutator subgroup.
75828
Compute Galois group of $\mathbb F_q/\mathbb F_p$
158074
Cyclic group $G$ with generator $ab$.
96680
Generators of symmetric group $S_n$
115969
Amount of generators for cyclic group and Euler's function
50706
$|G|=p(p+1)$ for $p$ prime, then $G$ has a normal subgroup of order $p$ or $p+1$
13734
Show that every group of prime order is cyclic
152481
If order of group is $p^2$, where $p$ is prime, how can you deduce $G$ is isomorphic to $C_{p^2}$ or $C_p \times C_p$?
18634
Combinations of sets raised to the power of a prime modulus: $\binom{p^{\alpha}-1}k \equiv (-1)^k \pmod p$
99205
Group of order $p^k q$ where $p$ and $q$ are distinct primes - how to prove this property?
8602
Galois Group of $(x^2-p_1)\cdots(x^2-p_n)$
63499
Groups of prime squared order
76504
Non-trivial cyclic group with unique generator
114489
Solving $x^p + y^p = p^z$ in positive integers $x,y,z$ and a prime $p$
41231
Subgroups of (Z,+) of order n