List questions from group-homomorphism

63

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True or false: $\left(\mu\left[a,\bar{a}\right]=\mu\left[b,\bar{b}\right]\iff a+\bar{b}=b+\bar{a}\right)\iff\mu$ is a homomorphism?

Published on 10 Feb 2019 - 10:46

209

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GAP semidirect product

Published on 25 Mar 2026 - 7:40

1k

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An isomorphism between $\mathbb Z_n \times \mathbb Z_m$ and $ \mathbb Z_{mn}$

Published on 23 Mar 2026 - 14:26

516

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Set of all R-homomorphism is finitely generated

Published on 25 Mar 2026 - 17:40

1.1k

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Injective and surjective homomorphisms between non cyclic group of order $4 $ to $Z_8$

Published on 20 Feb 2019 - 13:35

167

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Isomorphism between an elliptic curve and the additive structure of the field.

Published on 20 Feb 2019 - 17:05

90

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Homomorphisms Group Theory

Published on 21 Feb 2019 - 16:45

249

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Group homomorphism with non-trivial kernel

Published on 22 Feb 2019 - 13:21

68

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Group homomorphism containing the trivial kernel only

Published on 22 Feb 2019 - 16:09

74

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New outer automorphism for $G_1 \times G_2$

Published on 25 Mar 2026 - 20:15

155

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Constructing a homomorphism such that a given set is the kernel.

Published on 26 Feb 2019 - 12:15

230

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Show if a homomorphism has a non trivial kernel

Published on 26 Feb 2019 - 18:21

83

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How to prove/show this actually defines a homomoprhism

Published on 27 Feb 2019 - 9:11

335

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Is every normal subgroup the kernel of some self-homomorphism?

Published on 01 Mar 2019 - 11:55

282

Views

Find the number of group homomorphism between $A_5$ and $S_5$.

Published on 25 Mar 2026 - 3:21

List Question

True or false: $\left(\mu\left[a,\bar{a}\right]=\mu\left[b,\bar{b}\right]\iff a+\bar{b}=b+\bar{a}\right)\iff\mu$ is a homomorphism?

GAP semidirect product

An isomorphism between $\mathbb Z_n \times \mathbb Z_m$ and $ \mathbb Z_{mn}$

Set of all R-homomorphism is finitely generated

Injective and surjective homomorphisms between non cyclic group of order $4 $ to $Z_8$

Isomorphism between an elliptic curve and the additive structure of the field.

Homomorphisms Group Theory

Group homomorphism with non-trivial kernel

Group homomorphism containing the trivial kernel only

New outer automorphism for $G_1 \times G_2$

Constructing a homomorphism such that a given set is the kernel.

Show if a homomorphism has a non trivial kernel

How to prove/show this actually defines a homomoprhism

Is every normal subgroup the kernel of some self-homomorphism?

Find the number of group homomorphism between $A_5$ and $S_5$.

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