List questions from group-cohomology

Published on 08 Apr 2026 - 16:13

43

Views

$\Omega_4^{SO}(K(\mathbb{Z}_2,2))$ v.s. $H^4(K(\mathbb{Z}_2,2),U(1))$: Cocycle form

Published on 10 May 2026 - 14:07

135

Views

Group actions on spectral sequences of group cohomology

Published on 10 May 2026 - 12:34

94

Views

Cup Products and Group Extensions

Published on 10 May 2026 - 13:47

111

Views

Functoriality of Lyndon-Hochschild-Serre spectral sequences in coefficients.

Published on 10 May 2026 - 13:50

1k

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Long exact sequence of cohomology group "without" Snake lemma

Published on 16 Apr 2026 - 10:18

141

Views

The extension of a connected, simply-connected Lie group by $\mathbb{Z}$ is trivial.

Published on 10 May 2026 - 17:18

119

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Could we define injective modules or projective modules for topological modules?

Published on 06 May 2026 - 14:06

48

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Comparing the cohomology rings of two central extensions

Published on 12 Apr 2026 - 13:43

189

Views

Neukirch ANT - proving reciprocity map is multiplicative

Published on 14 Apr 2026 - 12:43

93

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Stiefel Whitney classes on the simplex or the simplicial complex

Published on 10 May 2026 - 21:19

153

Views

Dualizing module and finiteness hypothesis

Published on 26 Apr 2026 - 4:17

322

Views

What's the ring structure of $H^*(C_2,\mathbb{Z})$ with a nontrivial group action?

Published on 08 Apr 2026 - 19:52

139

Views

Isomorphic extensions of $\mathbb Z_3$ by $\mathbb Z_3 \times \mathbb Z_3$ which are not equivalent

Published on 10 May 2026 - 13:50

113

Views

Find isomorphic extensions of $\mathbb Z_3$ by $\mathbb Z_3 \times \mathbb Z_3$ which are not equivalent

Published on 10 May 2026 - 13:50

List Question

Motivation for cochains, cocycles and coboundaries

$\Omega_4^{SO}(K(\mathbb{Z}_2,2))$ v.s. $H^4(K(\mathbb{Z}_2,2),U(1))$: Cocycle form

Group actions on spectral sequences of group cohomology

Cup Products and Group Extensions

Functoriality of Lyndon-Hochschild-Serre spectral sequences in coefficients.

Long exact sequence of cohomology group "without" Snake lemma

The extension of a connected, simply-connected Lie group by $\mathbb{Z}$ is trivial.

Could we define injective modules or projective modules for topological modules?

Comparing the cohomology rings of two central extensions

Neukirch ANT - proving reciprocity map is multiplicative

Stiefel Whitney classes on the simplex or the simplicial complex

Dualizing module and finiteness hypothesis

What's the ring structure of $H^*(C_2,\mathbb{Z})$ with a nontrivial group action?

Isomorphic extensions of $\mathbb Z_3$ by $\mathbb Z_3 \times \mathbb Z_3$ which are not equivalent

Find isomorphic extensions of $\mathbb Z_3$ by $\mathbb Z_3 \times \mathbb Z_3$ which are not equivalent

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