List questions from group-cohomology

90

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Let $M$ be a $G$-module, and let $f \in Z^2(G,M)$. Show that $f(1,1)=f(1,\sigma)=f(\sigma,1),\forall \sigma \in G$.

Published on 04 Mar 2017 - 7:05

91

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Interpretation of the second continous group cohomology

Published on 25 Mar 2026 - 17:39

916

Views

Computing homology/cohomology of unit tangent bundle

Published on 14 Mar 2017 - 15:25

207

Views

Show that if $X$ is a pointed retract of $Y$, and $Y$ is a $H$-space, then $X$ is a $H$-space too.

Published on 14 Mar 2017 - 22:46

209

Views

First De Rham cohomology group of Cantor ternary

Published on 27 Mar 2026 - 0:59

240

Views

Interpretation of first cohomology group

Published on 31 Mar 2017 - 9:43

117

Views

A property of slant product in group cohomology

Published on 03 Apr 2017 - 1:08

183

Views

Group cohomology of $\mathcal{O}_K/\mathfrak{p}^n$

Published on 04 Apr 2017 - 11:59

66

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Calculating $H^{n}(\mathbb{Z} / \langle 2 \rangle , \mathbb{Z})$

Published on 06 Apr 2017 - 0:51

56

Views

Cohomology morphism $H^(B\mathbb{Z}_2^n,\mathbb{Z}_2) \to H^(BS\mathbb{Z}_2^n,\mathbb{Z}_2)$

Published on 25 Mar 2026 - 14:25

166

Views

Group action on co-induced module

Published on 30 Jan 2023 - 4:19

110

Views

Induced Euler short exact sequence on wedge product

Published on 26 Mar 2026 - 17:30

59

Views

Group Cohomology and Change of Coefficients

Published on 02 Feb 2023 - 21:11

142

Views

A map in group cohomology from $H^2(G,\widehat{G})$ to $H^3(G,U(1))$

Published on 25 Mar 2026 - 7:44

50

Views

How do we incorporate actions into the topological method of computing group (co)homology?

Published on 06 Feb 2023 - 18:13

List Question

Let $M$ be a $G$-module, and let $f \in Z^2(G,M)$. Show that $f(1,1)=f(1,\sigma)=f(\sigma,1),\forall \sigma \in G$.

Interpretation of the second continous group cohomology

Computing homology/cohomology of unit tangent bundle

Show that if $X$ is a pointed retract of $Y$, and $Y$ is a $H$-space, then $X$ is a $H$-space too.

First De Rham cohomology group of Cantor ternary

Interpretation of first cohomology group

A property of slant product in group cohomology

Group cohomology of $\mathcal{O}_K/\mathfrak{p}^n$

Calculating $H^{n}(\mathbb{Z} / \langle 2 \rangle , \mathbb{Z})$

Cohomology morphism $H^(B\mathbb{Z}_2^n,\mathbb{Z}_2) \to H^(BS\mathbb{Z}_2^n,\mathbb{Z}_2)$

Group action on co-induced module

Induced Euler short exact sequence on wedge product

Group Cohomology and Change of Coefficients

A map in group cohomology from $H^2(G,\widehat{G})$ to $H^3(G,U(1))$

How do we incorporate actions into the topological method of computing group (co)homology?

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