List questions from group-homomorphism

Published on 25 Mar 2026 - 12:51

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show a mapping is homomorphism

Published on 20 Nov 2015 - 4:55

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Homomorphism induced by group action

Published on 21 Nov 2015 - 3:34

703

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Ring homomorphisms $\mathbb Z[x]\rightarrow \mathbb Q$

Published on 21 Nov 2015 - 11:55

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$GL_2(\mathbb{Z}_2)$ acting on $\mathbb{Z}_2 \times \mathbb{Z}_2$

Published on 21 Nov 2015 - 23:19

69

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Is there a surjective homomorphism from $Z$ to $\mathbb{Z}_2\times \mathbb{Z}_2$?

Published on 22 Nov 2015 - 19:37

62

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Why aren't all homomorphic abelian groups isomorphic as well?

Published on 23 Nov 2015 - 23:51

241

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Is there a surjective homomorphism from $D_{10}$ to $\mathbb Z _2\times \mathbb Z_2$

Published on 27 Mar 2026 - 18:26

68

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Computing entire mapping of homomorphism

Published on 25 Nov 2015 - 20:59

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Was more information that necessary given in this exercise?

Published on 26 Nov 2015 - 22:12

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Is this true for any subgroup of a group?

Published on 27 Nov 2015 - 4:47

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Surjective endomorphism of abelian group is isomorphism

Published on 27 Nov 2015 - 15:53

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Describe all the possible images of $f$ such that $f\colon D_{10}\to H$ is a homomorphism

Published on 28 Nov 2015 - 3:10

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Show that $\varphi (a) = a^n$ is an automorphism of $G$, if $G$ is abelian and $GCD(n, |G|)=1$

Published on 30 Nov 2015 - 11:21

91

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If $\phi$ is a homomorphism between cyclic groups $G$ and $F$, why must $|\phi(G)|$ divide $|G|$?

Published on 01 Dec 2015 - 6:35

List Question

Linear Mapping Monorphism

show a mapping is homomorphism

Homomorphism induced by group action

Ring homomorphisms $\mathbb Z[x]\rightarrow \mathbb Q$

$GL_2(\mathbb{Z}_2)$ acting on $\mathbb{Z}_2 \times \mathbb{Z}_2$

Is there a surjective homomorphism from $Z$ to $\mathbb{Z}_2\times \mathbb{Z}_2$?

Why aren't all homomorphic abelian groups isomorphic as well?

Is there a surjective homomorphism from $D_{10}$ to $\mathbb Z _2\times \mathbb Z_2$

Computing entire mapping of homomorphism

Was more information that necessary given in this exercise?

Is this true for any subgroup of a group?

Surjective endomorphism of abelian group is isomorphism

Describe all the possible images of $f$ such that $f\colon D_{10}\to H$ is a homomorphism

Show that $\varphi (a) = a^n$ is an automorphism of $G$, if $G$ is abelian and $GCD(n, |G|)=1$

If $\phi$ is a homomorphism between cyclic groups $G$ and $F$, why must $|\phi(G)|$ divide $|G|$?

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