Defining a homomorphism from S_n to Z_2 and showing that A_n is its kernel.
130081
Show that $A_n$ is the kernel of a group homomorphism of $S_n \rightarrow \{−1,1\}$.
137285
Prove $\mathbb{Z}_2 \times \mathbb{Z}_2$ is not isomorphic to $\mathbb{Z}_4$
32428
Group homomorphisms and which of the following statements are true (NBHM-$2014$)
120183
Prove that $S_3\times\mathbb{Z}_2$ is isomorphic to $D_6$
120968
Isomorphism of stabilizer over $S_n$ to $S_{n-1}$
18540
Isomorphism from $\mathbb{C}[G]$ to $\prod_{i=1}^h M_{n_i}(\mathbb{C})$.
30327
$\ker \phi = (x_1-a_1, ..., x_n-a_n)$ for a ring homomorphism $\phi: R[x_1, ..., x_n] \to R$
83001
Easier way to show $(\mathbb{Z}/(n))[x]$ and $\mathbb{Z}[x] / (n)$ are isomorphic
151993
Ring homomorphisms $\mathbb Z[x]\rightarrow \mathbb Q$
34234
Kernel of injective group homomorphism
82559
Showing two ring homomorphisms that agree on the integers must agree on the rationals
40321
$\operatorname{Aut}(\mathbb Z_n)$ is isomorphic to $U_n$.
32443
Find the kernel of a ring homomorphism $f(x)\to f(\sqrt 2)$
36137
Prove $GL_2(\mathbb{Z}/2\mathbb{Z})$ is isomorphic to $S_3$
64419
How to construct a homomorphism from an abelian group to $\mathbb{Q}/\mathbb{Z}$?
6171
Isomorphism between $\Bbb{Z}[\sqrt{d}]$ and a quotient of $\Bbb{Z}[X].$
17978
Isomorphism classes of $\mathbb{Z}[i]$ modules.