Question

The group homomorphism $z \mapsto (z/|z|)^2$ with an application of the homomorphism theorem.

score 146 · Answer 1 · 2018-11-28 11:35:27

146

Views

The group homomorphism $z \mapsto (z/|z|)^2$ with an application of the homomorphism theorem.

Published on 28 Nov 2018 - 11:35

score 43 · Answer 2 · 2018-11-28 17:32:28

43

Views

$Z(G)=\left \langle e \right \rangle$ if and only if $N_\Gamma (\operatorname{Im}(\varphi))=\operatorname{Im}(\varphi)$

Published on 28 Nov 2018 - 17:32

score 653 · Answer 3 · 2026-03-25 06:10:25

653

Views

Proving a ring-homomorphism using a group-homomorphism

Published on 25 Mar 2026 - 6:10

score 574 · Answer 4 · 2018-11-30 14:07:47

574

Views

Describing $Hom(\mathbb{Z}^2, G)$ as a subset of $G \times G$

Published on 30 Nov 2018 - 14:07

score 1.1k · Answer 5 · 2026-03-26 03:12:36

1.1k

Views

What is p-adic logarithmic map of an elliptic curve? How to compute it?

Published on 26 Mar 2026 - 3:12

score 428 · Answer 6 · 2018-12-02 07:02:55

428

Views

Prove any ring homomorphism between $M_2(\mathbb{R})$ and $\mathbb{R}$ is trivial

Published on 02 Dec 2018 - 7:02

score 729 · Answer 7 · 2026-03-25 01:40:05

729

Views

If all homomorphisms $f:G→H$ are trivial or injective, then G is simple.

Published on 25 Mar 2026 - 1:40

score 30 · Answer 8 · 2018-12-03 20:19:05

30

Views

Homomorphism and relative order questions

Published on 03 Dec 2018 - 20:19

score 182 · Answer 9 · 2026-03-26 01:14:32

182

Views

Prove the existence of homomorphism.

Published on 26 Mar 2026 - 1:14

score 211 · Answer 10 · 2018-12-03 21:56:31

211

Views

matrix homomorphism

Published on 03 Dec 2018 - 21:56

score 1k · Answer 11 · 2026-03-26 01:07:24

1k

Views

Finding Homomorphisms from dihedral groups to cyclical groups

Published on 26 Mar 2026 - 1:07

score 693 · Answer 12 · 2018-12-05 13:24:46

693

Views

Finding all group homomorphisms from $\mathbb{Z}_7$ to $\mathbb{Z}_{12}$

Published on 05 Dec 2018 - 13:24

score 68 · Answer 13 · 2018-12-05 18:26:20

68

Views

What exactly is $\phi(G)$ in a homomorphism?

Published on 05 Dec 2018 - 18:26

score 449 · Answer 14 · 2018-12-06 03:11:25

449

Views

Showing $\phi: \mathbb Z \to \mathbb Z_{12}$ is a homomorphism and determining it's $Ker(\phi)$ and $Im(\phi)$

Published on 06 Dec 2018 - 3:11

score 28 · Answer 15 · 2018-12-08 19:45:57

28

Views

If $G$ is a cyclic group of order $d$ with generator $a$, show that $\dfrac{\mathbb{Z}}{d\mathbb{Z}}$ is isomorphic $G$.

Published on 08 Dec 2018 - 19:45

List Question

The group homomorphism $z \mapsto (z/|z|)^2$ with an application of the homomorphism theorem.

$Z(G)=\left \langle e \right \rangle$ if and only if $N_\Gamma (\operatorname{Im}(\varphi))=\operatorname{Im}(\varphi)$

Proving a ring-homomorphism using a group-homomorphism

Describing $Hom(\mathbb{Z}^2, G)$ as a subset of $G \times G$

What is p-adic logarithmic map of an elliptic curve? How to compute it?

Prove any ring homomorphism between $M_2(\mathbb{R})$ and $\mathbb{R}$ is trivial

If all homomorphisms $f:G→H$ are trivial or injective, then G is simple.

Homomorphism and relative order questions

Prove the existence of homomorphism.

matrix homomorphism

Finding Homomorphisms from dihedral groups to cyclical groups

Finding all group homomorphisms from $\mathbb{Z}_7$ to $\mathbb{Z}_{12}$

What exactly is $\phi(G)$ in a homomorphism?

Showing $\phi: \mathbb Z \to \mathbb Z_{12}$ is a homomorphism and determining it's $Ker(\phi)$ and $Im(\phi)$

If $G$ is a cyclic group of order $d$ with generator $a$, show that $\dfrac{\mathbb{Z}}{d\mathbb{Z}}$ is isomorphic $G$.

Trending Questions

Popular # Hahtags

Popular Questions