List questions from group-homomorphism

Published on 26 Mar 2026 - 4:34

119

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Show that if $f:C_n\rightarrow C_n$ is a homomorphism of $C_n$ then $f=f_m$

Published on 22 Feb 2017 - 19:11

862

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Showing a group is surjective to show it's an automorphism.

Published on 22 Feb 2017 - 19:42

2.8k

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Let $K$ be a normal subgroup of $G$, and $H$ a normal subgroup of $K$. If $G/H$ is abelian, prove that $G/K$ and $K/H$ are both abelian.

Published on 24 Feb 2017 - 16:48

47

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Defining homomorphism in a function.

Published on 25 Feb 2017 - 14:58

231

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Universal property of coker

Published on 01 Mar 2017 - 16:13

271

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How to prove a "sharper Cayley theorem"?

Published on 01 Mar 2017 - 21:01

485

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Homomorphism onto complex unit circle

Published on 04 Mar 2017 - 18:00

52

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How to find group homomorphisms

Published on 25 Mar 2026 - 21:46

103

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$H_{n}(X - W , A-W) \cong H_{n}(X,A)$

Published on 13 Mar 2017 - 14:40

121

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If mapping is a homomorphism, then cardinality of ring is uniquely determined

Published on 14 Mar 2017 - 15:54

82

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Caracterization of $\mathrm{Aut}(\mathbb{Z}^n)$ for $n \in \mathbb{N}$

Published on 15 Mar 2017 - 16:15

44

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Proof using Homomorphism between two algebraic structures , that contains two elements

Published on 16 Mar 2017 - 17:19

2k

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Finding the kernel of $\phi$ of applying the First Isomorphism Theorem

Published on 17 Mar 2017 - 3:30

3.9k

Views

Showing that a matrix multiplication defines a homomorphism

Published on 17 Mar 2017 - 20:17

List Question

Prove that the rings $End(\mathbb{Z}^{n})$ and $M_{n}(\mathbb{Z})$ are isomorphic

Show that if $f:C_n\rightarrow C_n$ is a homomorphism of $C_n$ then $f=f_m$

Showing a group is surjective to show it's an automorphism.

Let $K$ be a normal subgroup of $G$, and $H$ a normal subgroup of $K$. If $G/H$ is abelian, prove that $G/K$ and $K/H$ are both abelian.

Defining homomorphism in a function.

Universal property of coker

How to prove a "sharper Cayley theorem"?

Homomorphism onto complex unit circle

How to find group homomorphisms

$H_{n}(X - W , A-W) \cong H_{n}(X,A)$

If mapping is a homomorphism, then cardinality of ring is uniquely determined

Caracterization of $\mathrm{Aut}(\mathbb{Z}^n)$ for $n \in \mathbb{N}$

Proof using Homomorphism between two algebraic structures , that contains two elements

Finding the kernel of $\phi$ of applying the First Isomorphism Theorem

Showing that a matrix multiplication defines a homomorphism

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