List questions from group-cohomology

Published on 25 Mar 2026 - 17:34

104

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Cohomology of $S^1 \rtimes \mathbb{Z}/2$

Published on 25 Mar 2026 - 22:26

640

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Group Cohomology is a universal $\delta$-Functor

Published on 11 Jan 2017 - 17:51

44

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Solve the equation $x^2 + y^2=z^2$ using group cohomology.

Published on 12 Jan 2017 - 16:48

37

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Proof of $\operatorname{Br}(K) = H^2(G,K^*)$

Published on 24 Mar 2026 - 23:46

1.3k

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Doubt about the definition of $G$-coinvariant

Published on 25 Mar 2026 - 14:22

589

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Deriving explicit formulas for the transfer maps

Published on 25 Jan 2017 - 13:09

610

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Applying the Lyndon-Hochschild-Serre spectral sequence

Published on 25 Mar 2026 - 21:22

202

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What is the usual norm argument?

Published on 26 Mar 2026 - 13:50

685

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Why is the first cohomology group of a group $G$ with coefficients in $\mathbb Q/\mathbb Z$ the group $Hom(G,\mathbb Q/\mathbb Z)$?

Published on 12 Feb 2017 - 19:59

50

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How to show that $H_0(G,I)=I/I^2$?

Published on 13 Feb 2017 - 0:22

129

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Is there a way to interpret the group cocycle condition as an associativity requirement (e.g. pentagon equation)?

Published on 21 Feb 2017 - 1:17

96

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Extending a 2-cocycle on $K \subseteq G$ to a 2-cochain on $G$

Published on 22 Feb 2017 - 11:49

178

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Second differential in Cech cohomology for non abelian groups

Published on 26 Mar 2026 - 17:31

347

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Central extensions of dihedral groups

Published on 27 Feb 2017 - 10:57

List Question

Group with unique Involution is determined by a certain Quotient

Cohomology of $S^1 \rtimes \mathbb{Z}/2$

Group Cohomology is a universal $\delta$-Functor

Solve the equation $x^2 + y^2=z^2$ using group cohomology.

Proof of $\operatorname{Br}(K) = H^2(G,K^*)$

Doubt about the definition of $G$-coinvariant

Deriving explicit formulas for the transfer maps

Applying the Lyndon-Hochschild-Serre spectral sequence

What is the usual norm argument?

Why is the first cohomology group of a group $G$ with coefficients in $\mathbb Q/\mathbb Z$ the group $Hom(G,\mathbb Q/\mathbb Z)$?

How to show that $H_0(G,I)=I/I^2$?

Is there a way to interpret the group cocycle condition as an associativity requirement (e.g. pentagon equation)?

Extending a 2-cocycle on $K \subseteq G$ to a 2-cochain on $G$

Second differential in Cech cohomology for non abelian groups

Central extensions of dihedral groups

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