List questions from group-cohomology

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Understanding lemma regarding fundamental class

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Proving isomorphism $H^r_T(G,M)\rightarrow H_T^{r+2}(G,M) $ for cyclic group using cup products

Published on 26 Mar 2026 - 17:46

102

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soft question- Kenneth's Brown notation at "Cohomology of finite Groups"

Published on 07 Jul 2016 - 15:59

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Classifying space of $GL_{n}(\mathbb{F})$?

Published on 18 Jul 2016 - 18:51

41

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basepoint problem: Is there an action of $\pi_1(B)$ on $\pi_1(F)$ for $F$ path connected

Published on 25 Mar 2026 - 19:25

90

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Why does the $\mathrm{Aut}(G)$ action on the group cohomology $H^\bullet(G,\mathbb{R})$ factor through $\mathrm{Out}(G)$?

Published on 04 Aug 2016 - 18:50

65

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Regarding a proof of Hilbert 90

Published on 09 Aug 2016 - 15:16

189

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Computation the second group cohomology

Published on 12 Aug 2016 - 15:02

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Is the Poincare polynomial a fundamental object?

Published on 22 Aug 2016 - 12:37

89

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$-1^{\rm{st}}$ cohomology group of a $G$ module $A$

Published on 23 Aug 2016 - 8:24

668

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What is cup product all about?

Published on 25 Aug 2016 - 8:19

323

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Trace map fails to be $G$ homomorphism

Published on 01 Sep 2016 - 5:08

79

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Construction of cup products

Published on 02 Sep 2016 - 2:28

323

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Which conditions do we need to ensure that the cup product on cochains descends to cohomology?

Published on 02 Sep 2016 - 7:29

List Question

Understanding definition of corestriction.

Understanding lemma regarding fundamental class

Proving isomorphism $H^r_T(G,M)\rightarrow H_T^{r+2}(G,M) $ for cyclic group using cup products

soft question- Kenneth's Brown notation at "Cohomology of finite Groups"

Classifying space of $GL_{n}(\mathbb{F})$?

basepoint problem: Is there an action of $\pi_1(B)$ on $\pi_1(F)$ for $F$ path connected

Why does the $\mathrm{Aut}(G)$ action on the group cohomology $H^\bullet(G,\mathbb{R})$ factor through $\mathrm{Out}(G)$?

Regarding a proof of Hilbert 90

Computation the second group cohomology

Is the Poincare polynomial a fundamental object?

$-1^{\rm{st}}$ cohomology group of a $G$ module $A$

What is cup product all about?

Trace map fails to be $G$ homomorphism

Construction of cup products

Which conditions do we need to ensure that the cup product on cochains descends to cohomology?

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