calculate (find the type of isomorphism) of $ℤ_{p^n}/pℤ_{p^n}$ where p is prime.
57691
calculate (find the type of isomorphism) of $\mathbb Z_p/p\mathbb Z_p$ where p is prime
23153
$\bmod p\!:\ x^2\equiv 1\iff x\equiv \pm1\ $ for prime $p$
108830
Let $G$ be a group of order $2p$ , where $p$ is a prime greater than $2$. Then, G is isomorphic to $\mathbb{Z}_{2p}$ or $D_p$
61546
Prove that for each prime $p$ there exists a nonabelian group of order $p^3$
87766
Using Cayley's Theorem to find an isomorphic subgroup.
141418
When is $\mathbb{F}_p[x]/(x^2-2)\simeq\mathbb{F}_p[x]/(x^2-3)$ for small primes?
27629
How to prove that $S^{2n+1}/S^1$ is homeomorphic to $\mathbb CP^n$ under a given identification
83001
Easier way to show $(\mathbb{Z}/(n))[x]$ and $\mathbb{Z}[x] / (n)$ are isomorphic
112359
How to deal with a Pell's equation type problem with two primes
124140
Quick way to find the number of the group homomorphisms $\phi:{\bf Z}_3\to{\bf Z}_6$?
121890
Proof that $ p $ | ${ p^n \choose k } $ for any prime $p$ and $ k < p^n$
116361
Relationship between prime factorizations of $n$ and $n+1$?
75828
Compute Galois group of $\mathbb F_q/\mathbb F_p$
107924
Prove (or derive) the de Polignac formula for the prime decomposition of $n!$
6171
Isomorphism between $\Bbb{Z}[\sqrt{d}]$ and a quotient of $\Bbb{Z}[X].$
125188
how to prove $m^{\phi(n)}+n^{\phi(m)}\equiv 1 \pmod{mn}$ where m and n are relatively prime?
65826
Find a prime number $p$ and an integer $b<p$ such that $p$ divides $b^{p−1}−1$.