List questions from quotient-group

Published on 10 Mar 2022 - 13:56

65

Views

Let $G=D_8\times\mathbb{Z_6}$ and $N=D_8\times\{0\}$. Prove that $G/N$ is isomorphic to $\mathbb{Z}_6$.

Published on 13 Mar 2022 - 19:32

78

Views

Question about quotient group of quotient group, and composition of quotient mappings

Published on 20 Mar 2022 - 7:31

140

Views

Help understanding the use of the First Isomorphism Theorem with regards to the special linear group

Published on 22 Mar 2022 - 15:47

76

Views

Direct product and quotient groups

Published on 23 Mar 2022 - 18:08

243

Views

Understanding quotient group in free product (van Kampen theorem)

Published on 26 Mar 2026 - 6:13

53

Views

What’s going on when I restrict a homomorphism to a smaller quotient group?

Published on 01 Apr 2022 - 10:29

173

Views

Quotient group by normal closure of union

Published on 08 Apr 2022 - 10:56

205

Views

Action on Quotient group

Published on 10 Apr 2022 - 8:47

45

Views

Describing elements in a factor ring

Published on 11 Apr 2022 - 0:31

272

Views

Conjugation is a group action on a quotient group

Published on 11 Apr 2022 - 6:26

182

Views

Unable to understand the relation between Field Extensions, Polynomial Quotient Rings generated by Ideals, & Polynomial Roots

Published on 11 Apr 2022 - 9:51

34

Views

Does $S\subset R$ imply $A\otimes_{R} A \subset A\otimes_{S} A$?

Published on 12 Apr 2022 - 15:25

48

Views

Why does injectivity imply to $|G/(H \cap K)|\leq |G/H|\cdot|G/K|?$

Published on 12 Apr 2022 - 21:22

69

Views

Let $G_1=G/Z(G)$ for a group $G$. Let $G_{i}$ be the group $G_{i-1}/Z(G_{i-1})$. If $G_{k}/Z(G_{k})$ is abelian, is $G$ nilpotent?

Published on 26 Mar 2026 - 8:02

List Question

Conditions for $\frac{(H\cap K)N}{N} = \frac{HN}{N} \cap \frac{KN}{N}$

Let $G=D_8\times\mathbb{Z_6}$ and $N=D_8\times\{0\}$. Prove that $G/N$ is isomorphic to $\mathbb{Z}_6$.

Question about quotient group of quotient group, and composition of quotient mappings

Help understanding the use of the First Isomorphism Theorem with regards to the special linear group

Direct product and quotient groups

Understanding quotient group in free product (van Kampen theorem)

What’s going on when I restrict a homomorphism to a smaller quotient group?

Quotient group by normal closure of union

Action on Quotient group

Describing elements in a factor ring

Conjugation is a group action on a quotient group

Unable to understand the relation between Field Extensions, Polynomial Quotient Rings generated by Ideals, & Polynomial Roots

Does $S\subset R$ imply $A\otimes_{R} A \subset A\otimes_{S} A$?

Why does injectivity imply to $|G/(H \cap K)|\leq |G/H|\cdot|G/K|?$

Let $G_1=G/Z(G)$ for a group $G$. Let $G_{i}$ be the group $G_{i-1}/Z(G_{i-1})$. If $G_{k}/Z(G_{k})$ is abelian, is $G$ nilpotent?

Trending Questions

Popular # Hahtags

Popular Questions