List questions from group-homomorphism

Published on 09 Nov 2021 - 14:06

296

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Show that there are exactly 4 homomorphisms from $ D_4 $ to $ Q_8$

Published on 29 Mar 2026 - 10:18

197

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Existence of Abelian group extension relative to group homomorphism

Published on 26 Mar 2026 - 12:36

220

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Unitary characters of $1$-torus

Published on 23 Feb 2026 - 8:24

286

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Find the number of homomorphisms from $A_4\to\mathbb Z_3$ and $A_4\to S_3$?

Published on 28 Mar 2026 - 2:06

216

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Homomorphisms from infinite groups to finite groups

Published on 13 Nov 2021 - 8:26

124

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Homomorphism from $S_4$ to $S_6$

Published on 15 Nov 2021 - 20:58

47

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Determine $\mathrm{Hom}_{\mathbb{Z}}(\mathbb{Z},\mathbb{Z}_m)$

Published on 16 Nov 2021 - 6:14

231

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Number of homomorphisms from $A_4$ to $\mathbb{Z}_{12}$

Published on 17 Nov 2021 - 3:21

351

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Number of group homomorphisms from quaternion group to itself.

Published on 18 Nov 2021 - 9:17

52

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A Question about a non trivial morphism

Published on 20 Nov 2021 - 20:12

128

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Let $f: (\Bbb Z_{28}, +)\to(\Bbb Z_{16}, +)$ be a group homomorphism such that $f(1)=12$. Find $\ker f$.

Published on 22 Nov 2021 - 17:56

82

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Homomorphism between cyclic groups is determined by an integer

Published on 22 Nov 2021 - 21:12

204

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Show that there exists a monomorphism from $D_n$ to $S_n$.

Published on 29 Mar 2026 - 10:18

33

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$(\mathbb Z_4\times\mathbb Z_6)/\langle(2,3)\rangle$ is isomorphic to $\mathbb Z_2\times\mathbb Z_6$ or $\mathbb Z_{12}$?

Published on 30 Nov 2021 - 17:27

List Question

If $f$ preserves identity and inverses, is it necessarily a group homomorphism?

Show that there are exactly 4 homomorphisms from $ D_4 $ to $ Q_8$

Existence of Abelian group extension relative to group homomorphism

Unitary characters of $1$-torus

Find the number of homomorphisms from $A_4\to\mathbb Z_3$ and $A_4\to S_3$?

Homomorphisms from infinite groups to finite groups

Homomorphism from $S_4$ to $S_6$

Determine $\mathrm{Hom}_{\mathbb{Z}}(\mathbb{Z},\mathbb{Z}_m)$

Number of homomorphisms from $A_4$ to $\mathbb{Z}_{12}$

Number of group homomorphisms from quaternion group to itself.

A Question about a non trivial morphism

Let $f: (\Bbb Z_{28}, +)\to(\Bbb Z_{16}, +)$ be a group homomorphism such that $f(1)=12$. Find $\ker f$.

Homomorphism between cyclic groups is determined by an integer

Show that there exists a monomorphism from $D_n$ to $S_n$.

$(\mathbb Z_4\times\mathbb Z_6)/\langle(2,3)\rangle$ is isomorphic to $\mathbb Z_2\times\mathbb Z_6$ or $\mathbb Z_{12}$?

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