List questions from group-cohomology

173

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Counterexample, where every projective representation can be lifted to a linear representation, but $H^{2}(G,\mathbb{C}^{\times}) \neq \{e\}$.

Published on 10 Apr 2023 - 22:57

133

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Precise relation between group cohomology and projective representations

Published on 11 Apr 2023 - 16:36

53

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cochains valued in a central extension in terms of the cochains valued in the subgroup and the quotient.

Published on 25 Mar 2026 - 9:29

110

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Explicit expression for Bockstein homomorphism in singular cohomology

Published on 25 Mar 2026 - 17:32

89

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Exactness of group invariants

Published on 08 May 2023 - 14:51

52

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The Second Cohomology group with Coefficient in cyclic group of order 3.

Published on 26 Mar 2026 - 6:30

159

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Has the homology of the Baumslag Solitar groups B(1,k) been computed?

Published on 26 Mar 2026 - 7:35

66

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Well-definedness of virtual cohomological dimension

Published on 19 May 2023 - 21:53

384

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What exactly is a universal central extension?

Published on 25 Mar 2026 - 4:38

138

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Finitely generated torsion-free group which is not geometrically finite?

Published on 27 Mar 2026 - 11:48

179

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What is the maximum value of $\sharp H^1(\Bbb{Z}/2\Bbb{Z},\Bbb{Z}×\Bbb{Z}/2\Bbb{Z})$?

Published on 27 Mar 2026 - 0:59

89

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Bockstein homomorphism with short exact sequence of coefficients from general tori

Published on 29 May 2023 - 14:35

83

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When is $f^*:H^1(G_K,N)\to H^1(G_K,M)$ injective?

Published on 27 Mar 2026 - 1:00

62

Views

Tate cohomology of units

Published on 26 Mar 2026 - 6:21

84

Views

Cohomology of local fields in positive characteristic

Published on 24 Mar 2026 - 23:46

List Question

Counterexample, where every projective representation can be lifted to a linear representation, but $H^{2}(G,\mathbb{C}^{\times}) \neq \{e\}$.

Precise relation between group cohomology and projective representations

cochains valued in a central extension in terms of the cochains valued in the subgroup and the quotient.

Explicit expression for Bockstein homomorphism in singular cohomology

Exactness of group invariants

The Second Cohomology group with Coefficient in cyclic group of order 3.

Has the homology of the Baumslag Solitar groups B(1,k) been computed?

Well-definedness of virtual cohomological dimension

What exactly is a universal central extension?

Finitely generated torsion-free group which is not geometrically finite?

What is the maximum value of $\sharp H^1(\Bbb{Z}/2\Bbb{Z},\Bbb{Z}×\Bbb{Z}/2\Bbb{Z})$?

Bockstein homomorphism with short exact sequence of coefficients from general tori

When is $f^*:H^1(G_K,N)\to H^1(G_K,M)$ injective?

Tate cohomology of units

Cohomology of local fields in positive characteristic

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