List questions from group-homomorphism

Published on 31 Mar 2026 - 19:18

32

Views

Is this mapping group homomorphism? (topological groups)

Published on 09 May 2016 - 5:55

582

Views

If $\phi: G \rightarrow H$ is a homomorphism, then $\phi(1_G) = 1_H$ - proof verification

Published on 09 May 2016 - 9:22

398

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Homomorphisms between finite groups

Published on 09 May 2016 - 20:08

135

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Constructing a surjective morphism $D_4 \to \Bbb Z_2$

Published on 10 May 2016 - 10:05

45

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$H,K$ be subgroups of a group $G$ such that $HK$ is also a subgroup ; when is it possible that $HK$ is a homomorphic image of $H$?

Published on 12 May 2016 - 7:27

145

Views

How do you prove that a homomorphism is bijective?

Published on 13 May 2016 - 22:47

1.2k

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Why does the name "epimorphism" refer to a surjective homorphism?

Published on 14 May 2016 - 18:09

292

Views

Prove $f(x)=axa^{-1}$ Group Homomorphism

Published on 18 May 2016 - 2:20

303

Views

Prove that $f(z)=z^4$ is a group homomorphism

Published on 18 May 2016 - 2:45

38

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$|\hom(G, \Bbb Z/2)|>1 \iff |G:[G,G]|$ is even

Published on 19 May 2016 - 4:13

99

Views

Proof of a theorem about homomorphisms

Published on 21 May 2016 - 14:35

891

Views

Representation of $Q_8$ over $\mathbb{R}$

Published on 22 May 2016 - 10:37

502

Views

Is this notation on the restriction of a function in group theory common?

Published on 22 May 2016 - 11:02

859

Views

Homomorphism from group of integers modulo $4$ to the Klein four group

Published on 27 May 2016 - 2:43

List Question

Showing some transformation is group isomorphism (topological group).

Is this mapping group homomorphism? (topological groups)

If $\phi: G \rightarrow H$ is a homomorphism, then $\phi(1_G) = 1_H$ - proof verification

Homomorphisms between finite groups

Constructing a surjective morphism $D_4 \to \Bbb Z_2$

$H,K$ be subgroups of a group $G$ such that $HK$ is also a subgroup ; when is it possible that $HK$ is a homomorphic image of $H$?

How do you prove that a homomorphism is bijective?

Why does the name "epimorphism" refer to a surjective homorphism?

Prove $f(x)=axa^{-1}$ Group Homomorphism

Prove that $f(z)=z^4$ is a group homomorphism

$|\hom(G, \Bbb Z/2)|>1 \iff |G:[G,G]|$ is even

Proof of a theorem about homomorphisms

Representation of $Q_8$ over $\mathbb{R}$

Is this notation on the restriction of a function in group theory common?

Homomorphism from group of integers modulo $4$ to the Klein four group

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