Question

Group cohomology of $\mathrm{GL}(V)$

score 102 · Answer 1 · 2026-03-20 13:26:17

102

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Group cohomology of $\mathrm{GL}(V)$

Published on 20 Mar 2026 - 13:26

score 961 · Answer 2 · 2026-03-20 07:19:47

961

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How to compute group cohomology $H^2_\sigma(\mathbb{Z}\times \mathbb{Z}, \mathbb{Z}_2\times \mathbb{Z}_2)$ with nontrivial $G$-module

Published on 20 Mar 2026 - 7:19

score 134 · Answer 3 · 2026-03-22 11:12:54

134

Views

Cohomological Interpretation of Modular Forms on a Modular Curve

Published on 22 Mar 2026 - 11:12

score 34 · Answer 4 · 2026-03-20 02:00:01

34

Views

Group cohomology with the coefficient $\frac{1}{n}\mathbb{Z}/\mathbb{Z}$

Published on 20 Mar 2026 - 2:00

score 166 · Answer 5 · 2026-03-22 04:16:37

166

Views

A $G$-module admits a surjection from a $G$-module, which is free as an abelian group, such that the kernel is free

Published on 22 Mar 2026 - 4:16

score 180 · Answer 6 · 2026-03-22 13:49:04

180

Views

Different constructions of group homology

Published on 22 Mar 2026 - 13:49

score 289 · Answer 7 · 2026-03-20 01:52:55

289

Views

What is the pushout of $D^n \longleftarrow S^{n-1} \longrightarrow D^n$?

Published on 20 Mar 2026 - 1:52

score 105 · Answer 8 · 2026-03-22 02:54:27

105

Views

Group theoretic interpretation of the cohomology of $K(G, n)$

Published on 22 Mar 2026 - 2:54

score 79 · Answer 9 · 2026-03-22 09:44:02

79

Views

Action of a group on set of morphisms

Published on 22 Mar 2026 - 9:44

score 268 · Answer 10 · 2026-03-23 08:02:24

268

Views

Crossed homomorphism/derivation on free group

Published on 23 Mar 2026 - 8:02

score 31 · Answer 11 · 2026-03-22 05:12:22

31

Views

Group cohomology: Given $h$ with $dh = 0$ and $[h] = 0 \in H^n(G,A)$, find $f$ s.t. $df = h$

Published on 22 Mar 2026 - 5:12

score 150 · Answer 12 · 2026-03-20 05:12:17

150

Views

$H^1(G, \mathbb{Z}/p \mathbb{Z})$ and linearly independent elements in open subgroups.

Published on 20 Mar 2026 - 5:12

score 386 · Answer 13 · 2026-03-23 11:06:18

386

Views

Showing induced action of G by conjugation on Hochschild-Serre $H_i(G/N, H_j(N,M))$ is trivial

Published on 23 Mar 2026 - 11:06

score 114 · Answer 14 · 2026-03-25 13:57:06

114

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First part of the restriction map $H_{j}(G,A)\to H_{j}(H,A)$ on group homology

Published on 25 Mar 2026 - 13:57

score 41 · Answer 15 · 2026-03-23 08:41:55

41

Views

G-groups homomorphism regarding the subgroup fixed by G

Published on 23 Mar 2026 - 8:41

List Question

Group cohomology of $\mathrm{GL}(V)$

How to compute group cohomology $H^2_\sigma(\mathbb{Z}\times \mathbb{Z}, \mathbb{Z}_2\times \mathbb{Z}_2)$ with nontrivial $G$-module

Cohomological Interpretation of Modular Forms on a Modular Curve

Group cohomology with the coefficient $\frac{1}{n}\mathbb{Z}/\mathbb{Z}$

A $G$-module admits a surjection from a $G$-module, which is free as an abelian group, such that the kernel is free

Different constructions of group homology

What is the pushout of $D^n \longleftarrow S^{n-1} \longrightarrow D^n$?

Group theoretic interpretation of the cohomology of $K(G, n)$

Action of a group on set of morphisms

Crossed homomorphism/derivation on free group

Group cohomology: Given $h$ with $dh = 0$ and $[h] = 0 \in H^n(G,A)$, find $f$ s.t. $df = h$

$H^1(G, \mathbb{Z}/p \mathbb{Z})$ and linearly independent elements in open subgroups.

Showing induced action of G by conjugation on Hochschild-Serre $H_i(G/N, H_j(N,M))$ is trivial

First part of the restriction map $H_{j}(G,A)\to H_{j}(H,A)$ on group homology

G-groups homomorphism regarding the subgroup fixed by G

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