Determine all homomorphisms from $S_4$ to $\mathbb Z_2$.
13717
Homomorphisms from $S_4$ to $\mathbb Z_2$
97009
Image of ring homomorphism $\phi : \mathbb{Z}[t] \to \mathbb{Q}$?
53331
$\mathbb{Q}(\sqrt2, \sqrt3)$ is not isomorphic to $\mathbb{Q}(\sqrt[4]2)$
143451
Homomorphism from $(\Bbb Q,+)$ to a finite group
90192
Kernel and Image of a group homomorphism
121244
Homomorphisms and automorphisms on polynomial rings
51334
Does there exist any surjective group homomorphism from $(\mathbb R^* , .)$ onto $(\mathbb Q^* , .)$?
89415
Number of homomorphisms from $(\mathbb Q^+ , \,\cdot\,)$ to $(\mathbb Z_n , +)$
64419
How to construct a homomorphism from an abelian group to $\mathbb{Q}/\mathbb{Z}$?
2153
How to get a homomorphism from $\mathbb{Z}\to G$, for $G$ a non-trivial group?
126644
Simple module and homomorphisms
81068
Finding the left and right cosets of H = {(1), (12), (34), (12) ○ (34)} in S4
121449
An isomorphism from $GL_{2}(\mathbb{F_{2}})$ to $S_{3}$
109610
Is $\mathbb{R}[X]/(P)$ isomorphic to $\mathbb C$ for every irreducible polynomial $P$ of degree $2?$
27728
Question on a homomorphism of a set G.
112131
Characterizing all ring homomorphisms $C[0,1]\to\mathbb{R}$.
51695
Finding all homomorphisms between $\mathbb{Z}/m\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$