Question

Non-abelian extensions of the Klein four-group $K_4$ by $\mathbb{Z}_2$

score 154 · Answer 1 · 2026-03-25 22:04:26

154

Views

Non-abelian extensions of the Klein four-group $K_4$ by $\mathbb{Z}_2$

Published on 25 Mar 2026 - 22:04

score 36 · Answer 2 · 2026-03-25 15:58:15

36

Views

Module structure on $\mathbb{Z}$ over the Groupring $\mathbb{Z}[G]$

Published on 25 Mar 2026 - 15:58

score 95 · Answer 3 · 2026-03-26 01:11:06

95

Views

Central extension of a Lie group by the circle group $\mathbb{T}$

Published on 26 Mar 2026 - 1:11

score 105 · Answer 4 · 2026-03-27 00:10:24

105

Views

Group cohomology $H^1(G,M)$ , where $G$ is finite and $M$ is finitely generated

Published on 27 Mar 2026 - 0:10

score 72 · Answer 5 · 2026-03-27 04:17:48

72

Views

About the definition on cohomology of groups

Published on 27 Mar 2026 - 4:17

score 99 · Answer 6 · 2023-10-31 02:10:13

99

Views

Proving that $\tilde{H}^i(\mathbb R P^2 \vee S^3; \mathbb Z_2) = \tilde{H}^i(\mathbb R P^2; \mathbb Z_2) \oplus \tilde{H}^i(S^3; \mathbb Z_2)$

Published on 31 Oct 2023 - 2:10

score 37 · Answer 7 · 2026-03-25 04:37:50

37

Views

Classifying central extensions of perfect groups

Published on 25 Mar 2026 - 4:37

score 76 · Answer 8 · 2023-11-05 02:33:34

76

Views

Second Lie group cohomology: e-smooth cocycles

Published on 05 Nov 2023 - 2:33

score 151 · Answer 9 · 2026-03-27 14:57:14

151

Views

How to construct different modules using Gap?

Published on 27 Mar 2026 - 14:57

score 80 · Answer 10 · 2023-11-09 12:44:28

80

Views

Use cup products to show that $\mathbb R P^3$ is not homotopy equivalent to $\mathbb R P^2 \vee S^3.$

Published on 09 Nov 2023 - 12:44

score 138 · Answer 11 · 2023-11-09 13:53:47

138

Views

$H^1(G, C^\infty(X))$ for homogeneous spaces

Published on 09 Nov 2023 - 13:53

score 69 · Answer 12 · 2023-11-10 22:59:25

69

Views

Are the cohomology groups of the real projective plane the same as those of a half of it?

Published on 10 Nov 2023 - 22:59

score 27 · Answer 13 · 2026-03-25 12:39:52

27

Views

Why $f^*$ must be the identity map in Q.3.2.3(a) in AT? And notation question.

Published on 25 Mar 2026 - 12:39

score 65 · Answer 14 · 2023-11-11 20:53:18

65

Views

Why there is the map is a multiplication by a non-zero integer in case of the complex projective space?

Published on 11 Nov 2023 - 20:53

score 58 · Answer 15 · 2023-11-12 09:49:06

58

Views

Did not get the contradiction in case of $\mathbb C P^n$ Case?

Published on 12 Nov 2023 - 9:49

List Question

Non-abelian extensions of the Klein four-group $K_4$ by $\mathbb{Z}_2$

Module structure on $\mathbb{Z}$ over the Groupring $\mathbb{Z}[G]$

Central extension of a Lie group by the circle group $\mathbb{T}$

Group cohomology $H^1(G,M)$ , where $G$ is finite and $M$ is finitely generated

About the definition on cohomology of groups

Proving that $\tilde{H}^i(\mathbb R P^2 \vee S^3; \mathbb Z_2) = \tilde{H}^i(\mathbb R P^2; \mathbb Z_2) \oplus \tilde{H}^i(S^3; \mathbb Z_2)$

Classifying central extensions of perfect groups

Second Lie group cohomology: e-smooth cocycles

How to construct different modules using Gap?

Use cup products to show that $\mathbb R P^3$ is not homotopy equivalent to $\mathbb R P^2 \vee S^3.$

$H^1(G, C^\infty(X))$ for homogeneous spaces

Are the cohomology groups of the real projective plane the same as those of a half of it?

Why $f^*$ must be the identity map in Q.3.2.3(a) in AT? And notation question.

Why there is the map is a multiplication by a non-zero integer in case of the complex projective space?

Did not get the contradiction in case of $\mathbb C P^n$ Case?

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