Let $G=\mathbb{Z_{10}}\times \mathbb{Z_{15}}$. Then find the number of elements.
92968
how many element of order 2 and 5 are there
142038
Finding the number of elements of order two in the symmetric group $S_4$
77799
Determine the set of units $(\Bbb Z/n\Bbb Z)^\times$ for different values of $n$
73743
Number of elements in the quotient ring $\mathbb{Z}[X]/(X^2-3, 2X+4)$
141984
Find the number of homomorphisms between $\mathbb{Z}_m$ and $\mathbb{Z}_n$
64269
Finding the minimal $n$ such that a given finite group $G$ is a subgroup of $S_n$
138058
Prove that $\mathbb Z_{m}\times\mathbb Z_{n} \cong \mathbb Z_{mn}$ implies $\gcd(m,n)=1$.
30172
Why is the order of $\mathbb{Z}[i]/\langle 3+i\rangle$ equal to 10?
146990
How to find the number of automorphisms on $\mathbb Z_2\times \mathbb Z_4$
18752
How many elements $x$ in the field $\mathbb{ Z}_{11}$ satisfy the equation $x^{12} - x^{10} = 2$?
92672
Number of elements which are cubes/higher powers in a finite field.
140144
Can you find an element of order 10 in $\mathbb{Z}_{31}^{*}$
132475
Simple method the show that a group of order 15 is cyclic
67772
How to find $k$ such that $(\mathbb{Z} \times \mathbb{Z})/ \langle (m,n)\rangle \cong \mathbb{Z} \times \mathbb{Z}_k$
46687
Elements of $GL_{2}(\mathbb{Z})$ of finite order
22084
$\mathbb{Z}[i] / (2+3i)$ has 13 elements
5297
If G is a finite abelian group and $a_1,...,a_n$ are all its elements, show that $x=a_1a_2a_3...a_n$must satisfy $x^2=e$.