Is $S_n$ semidirect product of $A_n$ and $\mathbb{Z}_2$?
24561
$\mathbb S_n$ as semidirect product
57434
$SL_2(\mathbb Z_3)/Z(SL_2(\mathbb Z_3)) \cong A_4$
156941
Subgroups of $\mathbb{Z}$
152457
$\mathbb Z_n$ is semisimple iff $n$ is square free
75970
$\mathbb Z[1/2]$ is not finitely generated?
27472
Prove that $PSL(2,\mathbb{Z})$ is free product of $C_2$ and $C_3$
111348
Show that $\mathrm{S}_{m} \times \mathbb{N}^{m} \rightarrow \mathbb{N}^{m}$ defines an action of $\mathrm{S}_{m}$ on $\mathbb{N}^{m}$
29545
$[(x-a_1)(x-a_2) \cdots (x-a_n)]^2 +1$ is irreducible over $\mathbb Q$
6453
Let $n \geq 1$ be an odd integer. Show that $D_{2n}\cong \mathbb{Z}_2 \times D_n$.
108310
$(a_1 a_2 \cdots a_n)^2=e$ in a finite abelian group
37928
Isomorphism between $D_{2n}/Z(D_{2n})$ and $D_n$
120594
$\mathbb Z[i]/ \langle 1+2i \rangle \cong \mathbb Z_5$
84823
When is the group of units in $\mathbb{Z}_n$ cyclic?
145752
Aut $\mathbb Z_p\simeq \mathbb Z_{p-1}$
120035
Pattern in Isomorphisms between $\mathbb Z_m \times \mathbb Z_n$ and $\mathbb Z_{mn}$
129827
Product of invertibles in $\Bbb Z_n$ [Wilson's Theorem generalization]
63803
Calculating the tensor product $\mathbb{Z}/n\mathbb{Z} \otimes_{\mathbb Z} \mathbb{Z}/n\mathbb{Z}$