Show that $Z_5 \times Z_7$ and $Z_{35}$ are isomorphic.
5223
$\mathbb{Z}_m \times \mathbb Z_n$ is cyclic if and only if $\gcd(m,n)=1$
158799
Order of $G$ is 35, are there elements of order 5 and 7 in G?
120155
How to show that this group presentation is isomorphic to dihedral group?
37904
Prove that the multiplicative groups $\mathbb{R} - \{0\}$ and $\mathbb{C} - \{0\}$ are not isomorphic.
141911
Prove that these two fields are isomorphic.
120594
$\mathbb Z[i]/ \langle 1+2i \rangle \cong \mathbb Z_5$
39965
Partition of $\mathbb{Z}_8$ into cosets of Ker(θ)
100439
Proving that a Galois group $Gal(E/Q)$ is isomorphic to $\mathbb{F}_p^\times$
146969
Proving that every group of order $4$ is isomorphic to $\Bbb Z_4$ or $\Bbb Z^*_8$
132280
Let $G$ be a group of order 35. Show that $G \cong Z_{35}$
79056
Prove that $\mathbb Z^n$ is not isomorphic to $\mathbb Z^m$ for $m\neq n$
81197
Why is $SO(3)\times SO(3)$ isomorphic to $SO(4)$?
36142
What is $\mathbb Z \oplus \mathbb Z / \langle (2,2) \rangle$ isomorphic to?
131885
Show that not all 5 cycles in $A_5$ are conjugate in $A_5$
136422
Two finite fields with the same number of elements are isomorphic
133612
How many isomorphisms are there from $\Bbb Z_{12}$ to $\Bbb Z_{4} \oplus \Bbb Z_{3}$?
3317
Subgroup generated by $2$ and $7$ in $(\mathbb Z,+)$