List questions from galois-cohomology

Published on 25 Mar 2026 - 11:13

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Let $E/L$ be an elliptic curve. Why is Galois cohomology $H^1(G,E(L))$ finite group?

Published on 30 Mar 2023 - 10:55

40

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Is the subgroup of $WC(E/K)$ of curves with an $L$-rational point finite for $K$ local, $L/K$ finite Galois?

Published on 26 Mar 2026 - 4:34

117

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Tate Twists of Z/nZ

Published on 26 Mar 2026 - 4:34

51

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The first Galois cohomology commutes with projective limits

Published on 25 Mar 2026 - 19:11

178

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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 29 May 2023 - 10:21

82

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

Published on 30 May 2023 - 8:32

84

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Cohomology of local fields in positive characteristic

Published on 24 Mar 2026 - 23:46

27

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Norm residue map maps uniformizing elements to Frobenius elements

Published on 26 Mar 2026 - 4:29

31

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What is the group cohomology set $H^1(\mathbb{Z},GL_n(\mathbb{Z}_p^{ur}))$?

Published on 22 Jun 2023 - 13:21

84

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Proof of Proposition 2.27 in Diamond, Darmon, Taylor's "Fermat's Last Theorem"

Published on 09 Aug 2023 - 15:38

27

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Finiteness of $n$th Galois cohomology$H^n(U, \mathbb{F}_p)$ for open subgroups $U$ of a pro-$p$-group $G$

Published on 25 Mar 2026 - 4:44

96

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Etale cohomology of $Spec(ₚ^{\text{sep}}((t)))$

Published on 26 Mar 2026 - 7:59

58

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What is the motivation to introduce Tate-cohomology groups?

Published on 25 Mar 2026 - 16:14

75

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Classification of algebraic groups of the types $^1\! A_{n-1}$ and $^2\! A_{n-1}$

Published on 02 Oct 2023 - 17:37

List Question

Restriction map in semilocal Galois cohomology

Let $E/L$ be an elliptic curve. Why is Galois cohomology $H^1(G,E(L))$ finite group?

Is the subgroup of $WC(E/K)$ of curves with an $L$-rational point finite for $K$ local, $L/K$ finite Galois?

Tate Twists of Z/nZ

The first Galois cohomology commutes with projective limits

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

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

Cohomology of local fields in positive characteristic

Norm residue map maps uniformizing elements to Frobenius elements

What is the group cohomology set $H^1(\mathbb{Z},GL_n(\mathbb{Z}_p^{ur}))$?

Proof of Proposition 2.27 in Diamond, Darmon, Taylor's "Fermat's Last Theorem"

Finiteness of $n$th Galois cohomology$H^n(U, \mathbb{F}_p)$ for open subgroups $U$ of a pro-$p$-group $G$

Etale cohomology of $Spec(ₚ^{\text{sep}}((t)))$

What is the motivation to introduce Tate-cohomology groups?

Classification of algebraic groups of the types $^1\! A_{n-1}$ and $^2\! A_{n-1}$

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