Show that $\mathbb{Z}_4\rightarrow \mathbb{Z}_8\oplus \mathbb{Z}_2\rightarrow \mathbb{Z}_4$ is exact
119129
Determining whether there is a short exact sequence
39965
Partition of $\mathbb{Z}_8$ into cosets of Ker(θ)
23517
Presentation $\langle x,y,z\mid xyx^{-1}y^{-2},yzy^{-1}z^{-2},zxz^{-1}x^{-2}\rangle$ of group equal to trivial group
144105
Ring homomorphism from $\mathbb Z$ to $\mathbb Z$ is always identity or $0$
22632
Galois group of $x^4-2$
52951
Find all $n \in \mathbb{Z^+}$ such that $\phi(n)=4$
151993
Ring homomorphisms $\mathbb Z[x]\rightarrow \mathbb Q$
85752
Show that $M=\frac{\mathbb{Z}^3}{\langle (3,3,1),(2,2,2)\rangle}$ is isomorphic to $\mathbb{Z} \oplus \mathbb{Z}_4$ as $\mathbb{Z}$-modules
83919
How to show $D_3\oplus D_4$ is not isomorphic to $D_{24}$?
155165
Prove that $\mathbb F_8=\mathbb F_2[X]/(X^3+X+1)$
155669
$\mathrm{Aut}(D_4)$ is isomorphic to $D_4$
86807
The units of $\mathbb Z[\sqrt{2}]$
105363
$\mathbb Z^n/\langle (a,...,a) \rangle \cong \mathbb Z^{n-1} \oplus \mathbb Z/\langle a \rangle$
129750
Order of $SL_2(\mathbb{Z}/ n\mathbb{Z})$
129732
What is $\operatorname{Aut}(\mathbb{Z}_2\oplus \mathbb{Z}_2)$?
120181
The ideal generated by $2$ and $ x$ in $\mathbb{Z}[x]$
93703
Groups of units of $\mathbb{Z}\left[\frac{1+\sqrt{-3}}{2}\right]$