Question

Determine if the function is epimorphism

score 152 · Answer 1 · 2026-03-25 14:00:30

152

Views

Determine if the function is epimorphism

Published on 25 Mar 2026 - 14:00

score 118 · Answer 2 · 2020-08-20 01:29:41

118

Views

Does there exists a non trivial homomorphism $S_3\rightarrow Sl_2(\mathbb{Z})$?

Published on 20 Aug 2020 - 1:29

score 47 · Answer 3 · 2020-08-20 08:37:34

47

Views

Kernels and homomorphisms

Published on 20 Aug 2020 - 8:37

score 169 · Answer 4 · 2020-08-21 06:24:23

169

Views

Proving that the preimage of a normal subgroup is a normal subgroup by showing equality of left and right cosets

Published on 21 Aug 2020 - 6:24

score 33 · Answer 5 · 2020-08-28 04:53:37

33

Views

deciding whether a group homomorphism preserving some properties or not as follows

Published on 28 Aug 2020 - 4:53

score 221 · Answer 6 · 2020-08-28 15:53:04

221

Views

Showing that if $G$ is abelian of exponent $n$, then $|\operatorname{Hom}(G,\mu_n)|= (G:1)$

Published on 28 Aug 2020 - 15:53

score 20 · Answer 7 · 2026-03-28 01:15:27

20

Views

Prove that $f(g_j) = (e_1, e_2, . . . , g_i, e_(i+1), . . . e_n)$ is a group homomorphism for each i and find the kernel and the image of the function

Published on 28 Mar 2026 - 1:15

score 2.3k · Answer 8 · 2026-03-27 02:03:14

2.3k

Views

Number of group homomorphisms from $Z_2\times Z_2\to Z_4$

Published on 27 Mar 2026 - 2:03

score 114 · Answer 9 · 2026-03-27 16:25:26

114

Views

How to verify this property of homomorphism

Published on 27 Mar 2026 - 16:25

score 185 · Answer 10 · 2020-09-05 09:27:31

185

Views

Determine kernel and image of homomorphism

Published on 05 Sep 2020 - 9:27

score 213 · Answer 11 · 2020-09-12 02:55:29

213

Views

let f be a homomorphism from a finite group G into the Q/Z then prove that

Published on 12 Sep 2020 - 2:55

score 125 · Answer 12 · 2026-03-28 01:48:45

125

Views

Let $\varphi : G \rightarrow G/N$. Prove/Dis-prove that there exists a right inverse of $\varphi$ that is homomorphic.

Published on 28 Mar 2026 - 1:48

score 629 · Answer 13 · 2020-09-13 19:16:31

629

Views

Monomorphism that is not left-invertible, epimorphism that is not right-invertible

Published on 13 Sep 2020 - 19:16

score 144 · Answer 14 · 2020-09-14 04:24:31

144

Views

Group homomorphism identity function

Published on 14 Sep 2020 - 4:24

score 234 · Answer 15 · 2020-09-14 14:20:19

234

Views

Find the number of homomorphisms between $\mathbb{Z}_m$ and $\mathbb{Z}_n$

Published on 14 Sep 2020 - 14:20

List Question

Determine if the function is epimorphism

Does there exists a non trivial homomorphism $S_3\rightarrow Sl_2(\mathbb{Z})$?

Kernels and homomorphisms

Proving that the preimage of a normal subgroup is a normal subgroup by showing equality of left and right cosets

deciding whether a group homomorphism preserving some properties or not as follows

Showing that if $G$ is abelian of exponent $n$, then $|\operatorname{Hom}(G,\mu_n)|= (G:1)$

Prove that $f(g_j) = (e_1, e_2, . . . , g_i, e_(i+1), . . . e_n)$ is a group homomorphism for each i and find the kernel and the image of the function

Number of group homomorphisms from $Z_2\times Z_2\to Z_4$

How to verify this property of homomorphism

Determine kernel and image of homomorphism

let f be a homomorphism from a finite group G into the Q/Z then prove that

Let $\varphi : G \rightarrow G/N$. Prove/Dis-prove that there exists a right inverse of $\varphi$ that is homomorphic.

Monomorphism that is not left-invertible, epimorphism that is not right-invertible

Group homomorphism identity function

Find the number of homomorphisms between $\mathbb{Z}_m$ and $\mathbb{Z}_n$

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