Finding homomorphisms of $S_n$ → C* and $A_n$ → C*
126930
Finding all group homomorphisms of $S_n\to\mathbb{C}^*$ and $A_n\to\mathbb{C}^*$
115663
Proving an isomorphism using the isomorphism theorems
129452
Groups $G,H$ with surjective homomorphisms that are quotient of each other
24561
$\mathbb S_n$ as semidirect product
48818
Homomorphism of local rings
121244
Homomorphisms and automorphisms on polynomial rings
154847
homomorphism from $S_3$ to $\mathbb Z/3\mathbb Z$
150961
An example for a homomorphism that is not an automorphism
143451
Homomorphism from $(\Bbb Q,+)$ to a finite group
10998
Embedding $S_n$ in $A_{2n}$
141984
Find the number of homomorphisms between $\mathbb{Z}_m$ and $\mathbb{Z}_n$
67199
Isomorphism $H_n(D^n, S^{n - 1};A)$ and $A$
49242
stab(S) is isomorphic to $ S_k \times S_{n-k} $
50130
$\operatorname{Aut}(V)$ is isomorphic to $S_3$
101064
Showing the triviality of homomorphisms
57732
Rings of fractions and homomorphisms
159005
Finding all homomorphisms between two groups - couple of questions