Question

Left actions of quotient maps

score 25 · Answer 1 · 2020-05-04 17:18:53

25

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Left actions of quotient maps

Published on 04 May 2020 - 17:18

score 69 · Answer 2 · 2020-05-06 17:06:06

69

Views

Which of the following are true about the group $\Bbb{Z}_6×\Bbb{Z}_9×\Bbb{Z}_{15}/\langle(5,5,3)\rangle$?

Published on 06 May 2020 - 17:06

score 360 · Answer 3 · 2026-03-25 14:25:26

360

Views

Confused by quotient group (whats the operation): Show quotient group $GL_n(K)/SL_n(K)$ is abelian.

Published on 25 Mar 2026 - 14:25

score 89 · Answer 4 · 2020-05-09 07:08:04

89

Views

If $a,b$ are permutations of $S_8$ and $G=\langle a,b\rangle$ and $N=\langle a^2,b^2\rangle$. How can I prove that $G/N$ is abelian?

Published on 09 May 2020 - 7:08

score 857 · Answer 5 · 2020-05-10 13:53:46

857

Views

If $H_1$ and $H_2$ are isomorphic normal subgroups of $G$, when do we have an isomorphism between $G/H_1$ and $G/H_2$?

Published on 10 May 2020 - 13:53

score 30 · Answer 6 · 2020-05-12 18:01:17

30

Views

quotient ring (R/I) has multiplicative identity but R does not

Published on 12 May 2020 - 18:01

score 195 · Answer 7 · 2020-05-14 17:46:06

195

Views

How do you find the individual elements of a quotient ring?

Published on 14 May 2020 - 17:46

score 198 · Answer 8 · 2026-03-26 02:56:24

198

Views

Higher homotopy group $\pi_n(X,x_0)$ is the set of homotopy classes of maps $(S^n,p) \to (X,x_0)$

Published on 26 Mar 2026 - 2:56

score 1.3k · Answer 9 · 2020-05-19 17:52:54

1.3k

Views

Subgroup of factor/quotient group $G/N$ is of form $H/N$ for $N \subseteq H$

Published on 19 May 2020 - 17:52

score 252 · Answer 10 · 2020-05-19 18:17:02

252

Views

Showing this quotient group is isomorphic to $\mathbb{Z}_2\times{}\mathbb{Z}_2$

Published on 19 May 2020 - 18:17

score 371 · Answer 11 · 2020-05-20 23:32:38

371

Views

Find all the quotient groups of integers Z /n?

Published on 20 May 2020 - 23:32

score 205 · Answer 12 · 2020-05-21 05:37:49

205

Views

Do alternative expressions exist for subgroups of $G/N$, distinct from the correspondence theorem for groups?

Published on 21 May 2020 - 5:37

score 58 · Answer 13 · 2020-05-21 08:09:44

58

Views

Order of finite quotients of a group

Published on 21 May 2020 - 8:09

score 87 · Answer 14 · 2020-05-22 20:13:56

87

Views

Question on quotient groups

Published on 22 May 2020 - 20:13

score 59 · Answer 15 · 2020-05-23 15:26:36

59

Views

Proving that $\mathbb{Z}^{d}/n\mathbb{Z}^{d} = (\mathbb{Z}/n\mathbb{Z})^{d}$

Published on 23 May 2020 - 15:26

List Question

Left actions of quotient maps

Which of the following are true about the group $\Bbb{Z}_6×\Bbb{Z}_9×\Bbb{Z}_{15}/\langle(5,5,3)\rangle$?

Confused by quotient group (whats the operation): Show quotient group $GL_n(K)/SL_n(K)$ is abelian.

If $a,b$ are permutations of $S_8$ and $G=\langle a,b\rangle$ and $N=\langle a^2,b^2\rangle$. How can I prove that $G/N$ is abelian?

If $H_1$ and $H_2$ are isomorphic normal subgroups of $G$, when do we have an isomorphism between $G/H_1$ and $G/H_2$?

quotient ring (R/I) has multiplicative identity but R does not

How do you find the individual elements of a quotient ring?

Higher homotopy group $\pi_n(X,x_0)$ is the set of homotopy classes of maps $(S^n,p) \to (X,x_0)$

Subgroup of factor/quotient group $G/N$ is of form $H/N$ for $N \subseteq H$

Showing this quotient group is isomorphic to $\mathbb{Z}_2\times{}\mathbb{Z}_2$

Find all the quotient groups of integers Z /n?

Do alternative expressions exist for subgroups of $G/N$, distinct from the correspondence theorem for groups?

Order of finite quotients of a group

Question on quotient groups

Proving that $\mathbb{Z}^{d}/n\mathbb{Z}^{d} = (\mathbb{Z}/n\mathbb{Z})^{d}$

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