Question

Existence of group homomorphisms

score 93 · Answer 1 · 2017-12-14 23:19:47

93

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Existence of group homomorphisms

Published on 14 Dec 2017 - 23:19

score 48 · Answer 2 · 2017-12-15 16:26:35

48

Views

Show that $\theta(x)=x^2$ from $\mathbb{R}^*$, the nonzero real number under multiplication, is a homomorphism.

Published on 15 Dec 2017 - 16:26

score 30 · Answer 3 · 2017-12-17 10:57:37

30

Views

Proving Group Homomorphism between subgroups

Published on 17 Dec 2017 - 10:57

score 104 · Answer 4 · 2017-12-17 18:16:52

104

Views

Defining an isomorphic map

Published on 17 Dec 2017 - 18:16

score 93 · Answer 5 · 2017-12-17 22:36:22

93

Views

Which are the homomorphisms between the two groups $G=Z/(3)$ and $H=Z/(5)$?

Published on 17 Dec 2017 - 22:36

score 38 · Answer 6 · 2017-12-18 19:57:37

38

Views

Proving whether homomorphism exists from $\mathbb{Z}_{16}$ onto $\mathbb{Z}_2 ⊕ \mathbb{Z}_2$

Published on 18 Dec 2017 - 19:57

score 1k · Answer 7 · 2017-12-20 02:39:58

1k

Views

To find $\phi(x)$,given $\phi:Z_{50}\rightarrow Z_{15}$ is a group homomorphism

Published on 20 Dec 2017 - 2:39

score 97 · Answer 8 · 2017-12-21 18:22:52

Let $\phi:\Bbb Z_n\rightarrow G$ s.t. $\phi(i)=h^i$ for $0\le i\le n$. Give necessary and sufficient condition for $\phi$ to be homomorphism.

score 737 · Answer 9 · 2017-12-26 22:17:40

737

Views

Compute $\operatorname{Hom}(\mathbb{Z}/{n \mathbb{Z}}, \mathbb{Q}/\mathbb{Z}$)

Published on 26 Dec 2017 - 22:17

score 50 · Answer 10 · 2017-12-28 10:49:08

50

Views

Homomorphism and subgroups

Published on 28 Dec 2017 - 10:49

score 826 · Answer 11 · 2026-03-28 11:34:10

826

Views

Show that the Möbius group is isomorphic to the quotient of $GL_2(\Bbb C)$ by its centre.

Published on 28 Mar 2026 - 11:34

score 54 · Answer 12 · 2017-12-29 11:01:31

54

Views

Homomorphism and Monomodrphism

Published on 29 Dec 2017 - 11:01

score 93 · Answer 13 · 2017-12-30 16:45:06

93

Views

Find all $n$ for which exist homomorphism onto $(\mathbb{Z}_n, +)$

Published on 30 Dec 2017 - 16:45

score 748 · Answer 14 · 2018-01-04 12:15:47

748

Views

Group-homomorphism $ \mathbb{R\rightarrow\mathbb{Q}} $ without Axiom of choice

Published on 04 Jan 2018 - 12:15

score 71 · Answer 15 · 2026-03-28 17:40:20

71

Views

How can i understant a free semigroup on a set from a general point of view

Published on 28 Mar 2026 - 17:40

List Question

Existence of group homomorphisms

Show that $\theta(x)=x^2$ from $\mathbb{R}^*$, the nonzero real number under multiplication, is a homomorphism.

Proving Group Homomorphism between subgroups

Defining an isomorphic map

Which are the homomorphisms between the two groups $G=Z/(3)$ and $H=Z/(5)$?

Proving whether homomorphism exists from $\mathbb{Z}_{16}$ onto $\mathbb{Z}_2 ⊕ \mathbb{Z}_2$

To find $\phi(x)$,given $\phi:Z_{50}\rightarrow Z_{15}$ is a group homomorphism

Let $\phi:\Bbb Z_n\rightarrow G$ s.t. $\phi(i)=h^i$ for $0\le i\le n$. Give necessary and sufficient condition for $\phi$ to be homomorphism.

Compute $\operatorname{Hom}(\mathbb{Z}/{n \mathbb{Z}}, \mathbb{Q}/\mathbb{Z}$)

Homomorphism and subgroups

Show that the Möbius group is isomorphic to the quotient of $GL_2(\Bbb C)$ by its centre.

Homomorphism and Monomodrphism

Find all $n$ for which exist homomorphism onto $(\mathbb{Z}_n, +)$

Group-homomorphism $ \mathbb{R\rightarrow\mathbb{Q}} $ without Axiom of choice

How can i understant a free semigroup on a set from a general point of view

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