Find $\text{Aut}\left(\Bbb{Z}_{15}\right)$ and express as product of cyclic groups of prime power order
117688
Prove that $\def\Aut{\operatorname{Aut}}\Aut(\mathbf{Z_{n}})\simeq \mathbf{Z_{n}^{*}}$
122312
How can I compute $\mathrm{Aut}(\mathbb{Z}/4\mathbb{Z}\times\mathbb{Z}/6\mathbb{Z})$?
129732
What is $\operatorname{Aut}(\mathbb{Z}_2\oplus \mathbb{Z}_2)$?
28362
Product of two cyclic groups is cyclic iff their orders are co-prime
33025
What is the order of $(\mathbb{Z} \oplus \mathbb{Z})/ \langle (2,2) \rangle$ and is it cyclic?
7967
Prove that the order of the cyclic subgroup $\langle g^k\rangle $ is $n/{\operatorname{gcd}(n,k)}$
24499
Finding $(a, b, c)$ with $ab-c$, $bc-a$, and $ca-b$ being powers of $2$
38687
Isomorphism of a product $C_n \times C_m$ of cyclic groups with the cyclic group $C_{mn}$
27784
Proving that $\left(\mathbb Q[\sqrt p_1,\dots,\sqrt p_n]:\mathbb Q\right)=2^n$ for distinct primes $p_i$.
143550
Order of product of two elements in an abelian group
110390
Order of group $GL_{2}\left( \mathbb{F}_{p}\right) $
138862
Product of all elements in an odd finite abelian group is 1
61394
The product of finitely many cyclic groups is cyclic
43728
Proof via Group Theory : $\mathrm{lcm}(a,b) \cdot \gcd(a,b) = |ab|$
13355
Product of elements of a finite abelian group
62035
Order of automorphism group of cyclic group
2304
What is the quotient of a cyclic group of order $n$ by a cyclic subgroup of order $m$?