Question

Index of the multiple of a group in itself

score 51 · Answer 1 · 2023-10-25 17:50:51

51

Views

Index of the multiple of a group in itself

Published on 25 Oct 2023 - 17:50

score 89 · Answer 2 · 2023-10-30 03:51:07

89

Views

Let $G$ be a group then does $\{e\}/G$ make sense?

Published on 30 Oct 2023 - 3:51

score 59 · Answer 3 · 2023-10-31 06:19:03

59

Views

Series of nested normal subgroup (composition series) induces a sequence of quotient groups

Published on 31 Oct 2023 - 6:19

score 79 · Answer 4 · 2023-11-06 17:12:13

79

Views

Simple question concerning definition of the equivalence relation and the group operation in quotient group

Published on 06 Nov 2023 - 17:12

score 53 · Answer 5 · 2023-11-08 16:28:23

53

Views

Is there a way to relate the real numbers mod 1 to quotient groups?

Published on 08 Nov 2023 - 16:28

score 465 · Answer 6 · 2023-11-14 11:32:55

465

Views

$H$ acts on $G/H$. Show that $\mathrm{Fix}(H) = G/H$

Published on 14 Nov 2023 - 11:32

score 106 · Answer 7 · 2026-03-26 04:30:31

106

Views

How do we know that the quotient group $\bar{E} = E/Z(E)$ is an elementary abelian group

Published on 26 Mar 2026 - 4:30

score 62 · Answer 8 · 2026-03-26 12:48:23

62

Views

Prove by universal property that epimorphism onto quotient group kills the subgroup

Published on 26 Mar 2026 - 12:48

score 1.1k · Answer 9 · 2023-11-19 23:19:48

1.1k

Views

When can we "switch" isomorphic things

Published on 19 Nov 2023 - 23:19

score 39 · Answer 10 · 2023-11-23 03:45:29

39

Views

What is the relationship between between the quotient groups $G/\overline{H}$ and $N(H)/H$?

Published on 23 Nov 2023 - 3:45

score 84 · Answer 11 · 2023-11-23 09:45:07

84

Views

Quotient group and classification of quotient groups $\mathbb{Z}^3/H$

Published on 23 Nov 2023 - 9:45

score 102 · Answer 12 · 2023-11-26 12:08:48

102

Views

Order of $\mathbb{Q}_{p}^{\times }/ (\mathbb{Q}_{p}^{\times })^{2}$

Published on 26 Nov 2023 - 12:08

score 44 · Answer 13 · 2023-11-30 10:44:54

44

Views

How to represent elements from $\bar{E}=E/Z(E)$ in the form $(a|b)$

Published on 30 Nov 2023 - 10:44

score 173 · Answer 14 · 2023-12-01 08:19:33

173

Views

Classify $(\mathbb{Z}\times\mathbb{Z}\times\mathbb{Z})/\left<(1,1,2)\right>$

Published on 01 Dec 2023 - 8:19

score 202 · Answer 15 · 2023-12-09 13:21:58

202

Views

First Isomorphism Theorem not concerned with Injectivity?

Published on 09 Dec 2023 - 13:21

List Question

Index of the multiple of a group in itself

Let $G$ be a group then does $\{e\}/G$ make sense?

Series of nested normal subgroup (composition series) induces a sequence of quotient groups

Simple question concerning definition of the equivalence relation and the group operation in quotient group

Is there a way to relate the real numbers mod 1 to quotient groups?

$H$ acts on $G/H$. Show that $\mathrm{Fix}(H) = G/H$

How do we know that the quotient group $\bar{E} = E/Z(E)$ is an elementary abelian group

Prove by universal property that epimorphism onto quotient group kills the subgroup

When can we "switch" isomorphic things

What is the relationship between between the quotient groups $G/\overline{H}$ and $N(H)/H$?

Quotient group and classification of quotient groups $\mathbb{Z}^3/H$

Order of $\mathbb{Q}_{p}^{\times }/ (\mathbb{Q}_{p}^{\times })^{2}$

How to represent elements from $\bar{E}=E/Z(E)$ in the form $(a|b)$

Classify $(\mathbb{Z}\times\mathbb{Z}\times\mathbb{Z})/\left<(1,1,2)\right>$

First Isomorphism Theorem not concerned with Injectivity?

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