Question

Cohomology groups $H^i(\mathbb{Z}/p\mathbb{Z}, \mathbb{Z})$ and $H^i(\mathbb{Z}/p\mathbb{Z}, \mathbb{Z}/p\mathbb{Z})$ for $i = 1,2$

score 123 · Answer 1 · 2019-12-29 03:30:34

Cohomology groups $H^i(\mathbb{Z}/p\mathbb{Z}, \mathbb{Z})$ and $H^i(\mathbb{Z}/p\mathbb{Z}, \mathbb{Z}/p\mathbb{Z})$ for $i = 1,2$

score 200 · Answer 2 · 2020-01-01 06:25:54

200

Views

Book for Group cohomology for CS student

Published on 01 Jan 2020 - 6:25

score 100 · Answer 3 · 2026-03-25 10:59:46

100

Views

Concise notation for the central extension defined by a cocycle

Published on 25 Mar 2026 - 10:59

score 27 · Answer 4 · 2020-01-10 22:43:58

27

Views

Existence of a minimal cohomological extension of $A \mapsto A^G$

Published on 10 Jan 2020 - 22:43

score 306 · Answer 5 · 2020-01-12 16:06:46

306

Views

pontryagin duality and group cohomology

Published on 12 Jan 2020 - 16:06

score 71 · Answer 6 · 2020-01-17 20:58:10

71

Views

Doubt in Cohomology of Number fields by Neukirch

Published on 17 Jan 2020 - 20:58

score 75 · Answer 7 · 2020-01-22 13:25:02

75

Views

$SL_{2}(\mathbb{F}_{q})$ does not have periodic cohomology.

Published on 22 Jan 2020 - 13:25

score 288 · Answer 8 · 2020-01-23 08:35:33

288

Views

Show that for Abelian groups $G$ and $H, \bigl[K(G, n), K(H, n)\bigr] \cong \operatorname{Hom}(G, H).$

Published on 23 Jan 2020 - 8:35

score 237 · Answer 9 · 2020-01-24 22:55:49

237

Views

Group cohomology of $PSU(n)$

Published on 24 Jan 2020 - 22:55

score 53 · Answer 10 · 2020-02-01 11:33:10

53

Views

Calculation of homology groups of chain complex $C_*(Y) \otimes_{\mathbb{Z[G]}} \mathbb{Z}$.

Published on 01 Feb 2020 - 11:33

score 69 · Answer 11 · 2020-02-04 19:24:05

69

Views

Group action such that $H^1(G, L^{\times}) \neq \{1\}$.

Published on 04 Feb 2020 - 19:24

score 103 · Answer 12 · 2020-02-04 22:08:06

103

Views

Galois cohomology of free abelian groups

Published on 04 Feb 2020 - 22:08

score 66 · Answer 13 · 2020-02-05 21:42:28

66

Views

If $A^\Gamma$ is finite why is $A/(\gamma-1)A$ trivial?

Published on 05 Feb 2020 - 21:42

score 90 · Answer 14 · 2020-02-06 09:55:48

90

Views

To find kernel of $\rho:\mathbb{Z}[G^2] \to \mathbb{Z}[G/H]$, where $\rho((g_1,g_2))=Hg_2-Hg_1$

Published on 06 Feb 2020 - 9:55

score 64 · Answer 15 · 2020-02-06 12:00:59

64

Views

To find image of map $(C_{1}(H)_H, C_{2}(G)_G)\otimes_{\mathbb{Z}} \mathbb{Z}[G] \to C_1(G)$, where $G$ is a group and $H$ its subgroup.

Published on 06 Feb 2020 - 12:00

List Question

Cohomology groups $H^i(\mathbb{Z}/p\mathbb{Z}, \mathbb{Z})$ and $H^i(\mathbb{Z}/p\mathbb{Z}, \mathbb{Z}/p\mathbb{Z})$ for $i = 1,2$

Book for Group cohomology for CS student

Concise notation for the central extension defined by a cocycle

Existence of a minimal cohomological extension of $A \mapsto A^G$

pontryagin duality and group cohomology

Doubt in Cohomology of Number fields by Neukirch

$SL_{2}(\mathbb{F}_{q})$ does not have periodic cohomology.

Show that for Abelian groups $G$ and $H, \bigl[K(G, n), K(H, n)\bigr] \cong \operatorname{Hom}(G, H).$

Group cohomology of $PSU(n)$

Calculation of homology groups of chain complex $C_*(Y) \otimes_{\mathbb{Z[G]}} \mathbb{Z}$.

Group action such that $H^1(G, L^{\times}) \neq \{1\}$.

Galois cohomology of free abelian groups

If $A^\Gamma$ is finite why is $A/(\gamma-1)A$ trivial?

To find kernel of $\rho:\mathbb{Z}[G^2] \to \mathbb{Z}[G/H]$, where $\rho((g_1,g_2))=Hg_2-Hg_1$

To find image of map $(C_{1}(H)_H, C_{2}(G)_G)\otimes_{\mathbb{Z}} \mathbb{Z}[G] \to C_1(G)$, where $G$ is a group and $H$ its subgroup.

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