List questions from group-homomorphism

Published on 25 Mar 2026 - 7:44

111

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Question on Artin's Proof of the "Correspondence Theorem"

Published on 28 Jun 2023 - 4:14

35

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The cardinality assertion of the correspondence theorem

Published on 28 Jun 2023 - 15:48

263

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Prove that the map from $S_4$ to $S_3$ is a homomorphism

Published on 01 Jul 2023 - 9:32

125

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Find the number of homomorphisms from $S_7$ to $A_8$

Published on 04 Jul 2023 - 10:27

95

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The kernel and the image of a group homomorphism intersect trivially

Published on 15 Jul 2023 - 12:05

79

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Given $\text{Hom}(M,M')$ is abelian, does $M$ have to be abelian?

Published on 17 Jul 2023 - 17:47

80

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Converse of group homomorphism's preservation of subgroups

Published on 27 Jul 2023 - 16:39

36

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The number of the group homomorphisms between additive groups of integers modulo $n$

Published on 04 Aug 2023 - 17:04

47

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What relationship does the primality characteristic function have with the summation group that it's over? Can we form a sheaf?

Published on 25 Mar 2026 - 12:19

60

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Is this homomorphic property about orthogonality $a' \cdot\psi(b) =\psi(c)\to (\exists a.\ a' = \psi(a)\land a \cdot b = c)?$

Published on 06 Aug 2023 - 8:35

55

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Proving homomorphism version of correspondence theorem

Published on 08 Aug 2023 - 13:12

90

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$Lie(Ker \pi) = Ker d \pi $

Published on 16 Aug 2023 - 8:42

144

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Want to know more about exact sequences of homomorphisms

Published on 28 Mar 2026 - 12:32

75

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Find all group homomorphism from $(\Bbb Z_4, +_4)$ to $(S_3,\circ)$.

Published on 21 Aug 2023 - 4:42

List Question

How to prove that a group affords no epimorphism in $S_3$

Question on Artin's Proof of the "Correspondence Theorem"

The cardinality assertion of the correspondence theorem

Prove that the map from $S_4$ to $S_3$ is a homomorphism

Find the number of homomorphisms from $S_7$ to $A_8$

The kernel and the image of a group homomorphism intersect trivially

Given $\text{Hom}(M,M')$ is abelian, does $M$ have to be abelian?

Converse of group homomorphism's preservation of subgroups

The number of the group homomorphisms between additive groups of integers modulo $n$

What relationship does the primality characteristic function have with the summation group that it's over? Can we form a sheaf?

Is this homomorphic property about orthogonality $a' \cdot\psi(b) =\psi(c)\to (\exists a.\ a' = \psi(a)\land a \cdot b = c)?$

Proving homomorphism version of correspondence theorem

$Lie(Ker \pi) = Ker d \pi $

Want to know more about exact sequences of homomorphisms

Find all group homomorphism from $(\Bbb Z_4, +_4)$ to $(S_3,\circ)$.

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