Question

How can I find out number of onto homomorphism from $\mathbb{Z}\to \mathbb{Z}_5$

score 255 · Answer 1 · 2018-09-12 17:40:39

255

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How can I find out number of onto homomorphism from $\mathbb{Z}\to \mathbb{Z}_5$

Published on 12 Sep 2018 - 17:40

score 101 · Answer 2 · 2018-09-21 17:57:51

101

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What does the notation $ a \to a : A \to B$ means in the context of the word "inclusion"?

Published on 21 Sep 2018 - 17:57

score 47 · Answer 3 · 2018-09-29 19:46:04

47

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Suppose that $H$ is a subgroup, of order $p$ (a prime), of a group $G$, of order $< p^2$ . Show that $H\trianglelefteq G$

Published on 29 Sep 2018 - 19:46

score 94 · Answer 4 · 2018-10-02 00:06:26

94

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Show that $\phi$ induces a canonical homomorphism.

Published on 02 Oct 2018 - 0:06

score 40 · Answer 5 · 2018-10-02 13:11:43

40

Views

About identifying the quotient group

Published on 02 Oct 2018 - 13:11

score 90 · Answer 6 · 2018-10-02 15:11:32

90

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about restriction of homomorphisam

Published on 02 Oct 2018 - 15:11

score 575 · Answer 7 · 2026-03-25 18:59:09

575

Views

Correspondence between a group action of $G$ on a set $X$ and the homomorphism $G\to S_{X}$.

Published on 25 Mar 2026 - 18:59

score 48 · Answer 8 · 2018-10-04 12:04:02

48

Views

Why is this homomorphism?

Published on 04 Oct 2018 - 12:04

score 2.2k · Answer 9 · 2018-10-05 02:40:37

2.2k

Views

>$f : G → G′$ is a group homomorphism. (i). $H′$ is a normal subgroup of $G′$. Prove $f^-1(H′) = [ h ∈ G|f(h) ∈ H′] $ is a normal subgroup of $G$.

Published on 05 Oct 2018 - 2:40

score 72 · Answer 10 · 2018-10-07 06:38:47

72

Views

Give counterexample to the following claim about invertible homomorphic posets

Published on 07 Oct 2018 - 6:38

score 67 · Answer 11 · 2018-10-08 17:00:21

67

Views

Question related to the formal polynomial differentiation map

Published on 08 Oct 2018 - 17:00

score 42 · Answer 12 · 2018-10-09 21:17:45

42

Views

What is $(Hom_{\mathbb{C}}(V,W))^G$

Published on 09 Oct 2018 - 21:17

score 29 · Answer 13 · 2018-10-10 08:05:28

29

Views

$g_{1},g_{2} \in G$, then if $g_{1}g_{2}$ has finite order then we have to prove that $g_{2}g_{1}$ also has finite order too.

Published on 10 Oct 2018 - 8:05

score 359 · Answer 14 · 2018-10-12 08:04:57

359

Views

Group theory - invertible homomorphism and subgroups

Published on 12 Oct 2018 - 8:04

score 1k · Answer 15 · 2018-10-14 06:24:53

1k

Views

Prove $[G:H]=[G':H']$ where $H$ and $H'$ are corresponding subgroups preferably without product or quotient groups.

Published on 14 Oct 2018 - 6:24

List Question

How can I find out number of onto homomorphism from $\mathbb{Z}\to \mathbb{Z}_5$

What does the notation $ a \to a : A \to B$ means in the context of the word "inclusion"?

Suppose that $H$ is a subgroup, of order $p$ (a prime), of a group $G$, of order $< p^2$ . Show that $H\trianglelefteq G$

Show that $\phi$ induces a canonical homomorphism.

About identifying the quotient group

about restriction of homomorphisam

Correspondence between a group action of $G$ on a set $X$ and the homomorphism $G\to S_{X}$.

Why is this homomorphism?

>$f : G → G′$ is a group homomorphism. (i). $H′$ is a normal subgroup of $G′$. Prove $f^-1(H′) = [ h ∈ G|f(h) ∈ H′] $ is a normal subgroup of $G$.

Give counterexample to the following claim about invertible homomorphic posets

Question related to the formal polynomial differentiation map

What is $(Hom_{\mathbb{C}}(V,W))^G$

$g_{1},g_{2} \in G$, then if $g_{1}g_{2}$ has finite order then we have to prove that $g_{2}g_{1}$ also has finite order too.

Group theory - invertible homomorphism and subgroups

Prove $[G:H]=[G':H']$ where $H$ and $H'$ are corresponding subgroups preferably without product or quotient groups.

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