List questions from group-homomorphism

Published on 26 Mar 2026 - 6:27

72

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Number of characters II

Published on 25 Mar 2026 - 17:45

216

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Romyar Sharifi's notes: Group and Galois Cohomology; ideal vs submodule?

Published on 09 Aug 2019 - 12:18

32

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Proving the following automorphism of fields is an additive homomorphism

Published on 10 Aug 2019 - 4:08

839

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Kernel of homomorphism $f(x)=e^{2\pi ix}$

Published on 12 Aug 2019 - 9:13

69

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How to find the number of homomorphisms between two general groups.

Published on 13 Aug 2019 - 14:37

160

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Proving Map with Order Condition is Group Morphism

Published on 16 Aug 2019 - 13:56

405

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Show that $G/N$ is isomorphic to $\mathbb{R}^{} \times \mathbb{R}^{}$

Published on 22 Aug 2019 - 13:54

66

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Determine all elements of group $\operatorname{Hom}(S_{3}, \mathbb{Z}_{2})$.

Published on 24 Aug 2019 - 14:16

277

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A prime number is not a quadratic residue modulo some prime without quadratic reciprocity

Published on 25 Mar 2026 - 9:28

105

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Can we map $\Bbb{Z}[G]$ back to $G^{\text{ab}}$ using a group homomorphism?

Published on 26 Mar 2026 - 1:16

238

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Exponential-like functions on fields other than $\mathbb R$

Published on 02 Sep 2019 - 2:25

146

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Motivation of considering homomorphisms

Published on 25 Mar 2026 - 3:19

168

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To Show that all ﬁbers of this map has exactly $|H \cap K|$ elements and $|HK| = \frac{|H|\times|K|}{|H\cap K|}$

Published on 05 Sep 2019 - 12:22

50

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If $f:V \to W$ is a continuous group homomorphism, then $f$ is linear

Published on 05 Sep 2019 - 15:18

List Question

Topology Generated by Homomorphisms into a Topological Group

Number of characters II

Romyar Sharifi's notes: Group and Galois Cohomology; ideal vs submodule?

Proving the following automorphism of fields is an additive homomorphism

Kernel of homomorphism $f(x)=e^{2\pi ix}$

How to find the number of homomorphisms between two general groups.

Proving Map with Order Condition is Group Morphism

Show that $G/N$ is isomorphic to $\mathbb{R}^{} \times \mathbb{R}^{}$

Determine all elements of group $\operatorname{Hom}(S_{3}, \mathbb{Z}_{2})$.

A prime number is not a quadratic residue modulo some prime without quadratic reciprocity

Can we map $\Bbb{Z}[G]$ back to $G^{\text{ab}}$ using a group homomorphism?

Exponential-like functions on fields other than $\mathbb R$

Motivation of considering homomorphisms

To Show that all ﬁbers of this map has exactly $|H \cap K|$ elements and $|HK| = \frac{|H|\times|K|}{|H\cap K|}$

If $f:V \to W$ is a continuous group homomorphism, then $f$ is linear

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