List questions from group-cohomology

Published on 25 Mar 2026 - 22:05

127

Views

Inflation-restriction sequence for profinite groups

Published on 25 Mar 2026 - 23:35

61

Views

Induced $2$-cocycles on a normal subgroup

Published on 19 Feb 2023 - 21:15

64

Views

Why discrete modules?

Published on 27 Mar 2026 - 10:52

78

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Group cohomology cannot be defined until we define what topology and action is?

Published on 23 Feb 2023 - 6:30

79

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Group Homology of a Sylow $p$-Subgroup

Published on 25 Mar 2026 - 23:52

112

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Group Cohomology, Module Extensions, and Group Extensions, and $Ext^2_{\mathbb{Z}G}(\mathbb{Z},A)$

Published on 26 Mar 2026 - 19:10

73

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Restriction map in semilocal Galois cohomology

Published on 25 Mar 2026 - 11:13

130

Views

Cohomology of symmetric group of order $p!$ with coefficient tensor $p$ times of a graded vector space.

Published on 08 Mar 2023 - 20:40

39

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Two group cohomology are isomorphic to each other if they have the same coefficient.

Published on 25 Mar 2026 - 17:40

181

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Does every extension of a finite group by $\mathbb{R}^n$ split?

Published on 25 Mar 2026 - 17:32

267

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Is it possible to recover the Cartan-Leray Spectral Sequence for Group Cohomology from the Leray Spectral Sequence for Sheaf Cohomology?

Published on 25 Mar 2026 - 23:58

140

Views

Relations between the three different descriptions of 2nd cohomology group in Group Cohomology

Published on 25 Mar 2026 - 5:36

59

Views

Cap product of infinite cyclic group in degree one

Published on 31 Mar 2023 - 15:34

56

Views

Hilbert 90 for cyclic Galois ring extension

Published on 04 Apr 2023 - 17:41

List Question

Find functions $f(m,n)$ to make $a_m\times a_n= f(m,n)a_{m+n}$ associative

Inflation-restriction sequence for profinite groups

Induced $2$-cocycles on a normal subgroup

Why discrete modules?

Group cohomology cannot be defined until we define what topology and action is?

Group Homology of a Sylow $p$-Subgroup

Group Cohomology, Module Extensions, and Group Extensions, and $Ext^2_{\mathbb{Z}G}(\mathbb{Z},A)$

Restriction map in semilocal Galois cohomology

Cohomology of symmetric group of order $p!$ with coefficient tensor $p$ times of a graded vector space.

Two group cohomology are isomorphic to each other if they have the same coefficient.

Does every extension of a finite group by $\mathbb{R}^n$ split?

Is it possible to recover the Cartan-Leray Spectral Sequence for Group Cohomology from the Leray Spectral Sequence for Sheaf Cohomology?

Relations between the three different descriptions of 2nd cohomology group in Group Cohomology

Cap product of infinite cyclic group in degree one

Hilbert 90 for cyclic Galois ring extension

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