List questions from group-homomorphism

Published on 09 Mar 2021 - 16:23

71

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Can you check if it's a group monomorphism from the group presentations?

Published on 25 Mar 2026 - 19:04

490

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Proving no homomorphism exists

Published on 10 Mar 2021 - 23:10

132

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How many homomorphisms are there of $\mathbb{Z}/{3\mathbb{Z}} $ into $S_3$?

Published on 12 Mar 2021 - 0:22

96

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Is this a group homomorphism?

Published on 28 Mar 2026 - 12:13

88

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Cardinalities of $\text{Hom}(\Bbb Z/n\Bbb Z,\Bbb Q/\Bbb Z)$ and $\text{Hom}(\Bbb Q/\Bbb Z,\Bbb Z/n\Bbb Z)$

Published on 12 Mar 2021 - 5:07

47

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Subgroups of $S_n$, contained in $A_n$ or half of elements are odd permutations

Published on 12 Mar 2021 - 16:52

128

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What can you say about groups if every homomorphism is trivial?

Published on 14 Mar 2021 - 21:40

80

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Subgroups of $G$ if there is a homomorphism from $G$ to $C_2$

Published on 17 Mar 2021 - 3:56

90

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Is there any onto homomorphism from $\mathbb{C}^$ to $\mathbb{R}^$?

Published on 17 Mar 2021 - 6:47

156

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Prove that if the element $a\in G$, where $G$ is a group, has order $n$ and its homomorphic image $f(a)$ has order $m$, then $m\mid n$

Published on 17 Mar 2021 - 18:14

278

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Image of a group equal to his kernel

Published on 18 Mar 2021 - 12:03

161

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Homomorphism image of maximal torus

Published on 21 Mar 2021 - 10:30

32

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Imposing conditions on orders of cyclic group to create a group homomorphism

Published on 22 Mar 2021 - 6:06

49

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Group homomorphism and integers

Published on 22 Mar 2021 - 17:54

List Question

Need help in showing that $z\mapsto z^k$ is a surjective homomorphism.

Can you check if it's a group monomorphism from the group presentations?

Proving no homomorphism exists

How many homomorphisms are there of $\mathbb{Z}/{3\mathbb{Z}} $ into $S_3$?

Is this a group homomorphism?

Cardinalities of $\text{Hom}(\Bbb Z/n\Bbb Z,\Bbb Q/\Bbb Z)$ and $\text{Hom}(\Bbb Q/\Bbb Z,\Bbb Z/n\Bbb Z)$

Subgroups of $S_n$, contained in $A_n$ or half of elements are odd permutations

What can you say about groups if every homomorphism is trivial?

Subgroups of $G$ if there is a homomorphism from $G$ to $C_2$

Is there any onto homomorphism from $\mathbb{C}^$ to $\mathbb{R}^$?

Prove that if the element $a\in G$, where $G$ is a group, has order $n$ and its homomorphic image $f(a)$ has order $m$, then $m\mid n$

Image of a group equal to his kernel

Homomorphism image of maximal torus

Imposing conditions on orders of cyclic group to create a group homomorphism

Group homomorphism and integers

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