Question

Prove that if H is a group of odd order, there exists no nontrivial homomorphism from D_2017 to H?

score 513 · Answer 1 · 2018-04-05 19:39:02

513

Views

Prove that if H is a group of odd order, there exists no nontrivial homomorphism from D_2017 to H?

Published on 05 Apr 2018 - 19:39

score 1.1k · Answer 2 · 2018-04-11 22:07:34

1.1k

Views

If $\varphi: R^m \to R^n$ is an surjective module homomorphism, show $n \leq m$.

Published on 11 Apr 2018 - 22:07

score 381 · Answer 3 · 2026-03-17 11:12:07

381

Views

Prove that there do not exist non-trivial groups $H$ and $K$ such that $\mathbb{Q}\cong H\times K$.

Published on 17 Mar 2026 - 11:12

score 413 · Answer 4 · 2018-04-17 00:57:59

413

Views

Prove that $\sum_{a\in A} φ(a)=0$ where $A$ is finite Abelian group.

Published on 17 Apr 2018 - 0:57

score 2.3k · Answer 5 · 2018-04-18 06:08:08

2.3k

Views

Is there Any Homomorphism Between Vector Spaces that is not Linear?

Published on 18 Apr 2018 - 6:08

score 118 · Answer 6 · 2018-04-18 10:14:10

118

Views

A permutation of $\mathbb{Z}/n\mathbb{Z}$ disturbing distances is a group homomorphism?

Published on 18 Apr 2018 - 10:14

score 493 · Answer 7 · 2018-04-18 12:07:51

493

Views

Surjective homomorphisms from Free group of rank 2 to Finite group of order 2/

Published on 18 Apr 2018 - 12:07

score 34 · Answer 8 · 2018-04-18 14:34:53

34

Views

Understanding all homomorphisms $\alpha: \mathbb{Z}^a \to \mathbb{Z}^b$ and their matrix representations

Published on 18 Apr 2018 - 14:34

score 48 · Answer 9 · 2018-04-18 16:05:21

48

Views

Prove that the function $f(\bar{z})=e^{2\pi i z}$ is well-defined and that it is a group-homomorphism

Published on 18 Apr 2018 - 16:05

score 45 · Answer 10 · 2026-03-17 22:49:40

45

Views

Relation between homomorphisms and monomorphims of finite groups

Published on 17 Mar 2026 - 22:49

score 163 · Answer 11 · 2026-03-25 05:59:13

163

Views

Understanding Advanced Permutation Group by Example

Published on 25 Mar 2026 - 5:59

score 112 · Answer 12 · 2018-04-21 09:41:40

112

Views

What a group homomorphism looks like

Published on 21 Apr 2018 - 9:41

score 626 · Answer 13 · 2026-03-25 02:15:42

626

Views

$f (e_G )=e_H $ is necessary for Monoid homomorphisms

Published on 25 Mar 2026 - 2:15

score 647 · Answer 14 · 2018-04-24 17:54:03

647

Views

Proving a group homomorphism of a cartesian product, what are the operations?

Published on 24 Apr 2018 - 17:54

score 650 · Answer 15 · 2018-04-25 21:20:06

650

Views

Restriction of homomorphism to finite index subgroup gives finite index subgroup of kernel

Published on 25 Apr 2018 - 21:20

List Question

Prove that if H is a group of odd order, there exists no nontrivial homomorphism from D_2017 to H?

If $\varphi: R^m \to R^n$ is an surjective module homomorphism, show $n \leq m$.

Prove that there do not exist non-trivial groups $H$ and $K$ such that $\mathbb{Q}\cong H\times K$.

Prove that $\sum_{a\in A} φ(a)=0$ where $A$ is finite Abelian group.

Is there Any Homomorphism Between Vector Spaces that is not Linear?

A permutation of $\mathbb{Z}/n\mathbb{Z}$ disturbing distances is a group homomorphism?

Surjective homomorphisms from Free group of rank 2 to Finite group of order 2/

Understanding all homomorphisms $\alpha: \mathbb{Z}^a \to \mathbb{Z}^b$ and their matrix representations

Prove that the function $f(\bar{z})=e^{2\pi i z}$ is well-defined and that it is a group-homomorphism

Relation between homomorphisms and monomorphims of finite groups

Understanding Advanced Permutation Group by Example

What a group homomorphism looks like

$f (e_G )=e_H $ is necessary for Monoid homomorphisms

Proving a group homomorphism of a cartesian product, what are the operations?

Restriction of homomorphism to finite index subgroup gives finite index subgroup of kernel

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