Question

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

score 113 · Answer 1 · 2026-04-29 12:31:19

113

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

Published on 29 Apr 2026 - 12:31

score 972 · Answer 2 · 2026-05-03 17:36:41

972

Views

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 03 May 2026 - 17:36

score 144 · Answer 3 · 2026-05-05 17:36:45

144

Views

Cohomological Interpretation of Modular Forms on a Modular Curve

Published on 05 May 2026 - 17:36

score 43 · Answer 4 · 2026-04-29 12:48:59

43

Views

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

Published on 29 Apr 2026 - 12:48

score 174 · Answer 5 · 2026-05-04 03:59:17

174

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 04 May 2026 - 3:59

score 186 · Answer 6 · 2026-04-19 22:50:57

186

Views

Different constructions of group homology

Published on 19 Apr 2026 - 22:50

score 296 · Answer 7 · 2026-04-29 12:48:06

296

Views

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

Published on 29 Apr 2026 - 12:48

score 115 · Answer 8 · 2026-05-03 08:59:43

115

Views

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

Published on 03 May 2026 - 8:59

score 83 · Answer 9 · 2026-04-20 02:32:19

83

Views

Action of a group on set of morphisms

Published on 20 Apr 2026 - 2:32

score 280 · Answer 10 · 2026-04-29 12:44:27

280

Views

Crossed homomorphism/derivation on free group

Published on 29 Apr 2026 - 12:44

score 37 · Answer 11 · 2026-05-02 22:42:18

37

Views

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

Published on 02 May 2026 - 22:42

score 156 · Answer 12 · 2026-04-29 12:23:41

156

Views

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

Published on 29 Apr 2026 - 12:23

score 394 · Answer 13 · 2026-05-02 18:20:12

394

Views

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

Published on 02 May 2026 - 18:20

score 123 · Answer 14 · 2026-05-10 11:21:52

123

Views

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

Published on 10 May 2026 - 11:21

score 49 · Answer 15 · 2026-04-29 12:44:08

49

Views

G-groups homomorphism regarding the subgroup fixed by G

Published on 29 Apr 2026 - 12:44

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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