List questions from group-cohomology

85

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Fundamental class of the group cohomology of the fundamental group of an orientable surface of genus $g$.

Published on 07 May 2020 - 10:22

39

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$H^{1}(\mathbb{Q},\mathbb{Z})=?$

Published on 08 May 2020 - 17:36

139

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How to show that a short exact sequence induces an SES on cochain complexes?

Published on 14 May 2020 - 12:26

62

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Isomorphism between $H^1(\mathbb{Z}_p, M)$ and $M_{\mathbb{Z}_p}$

Published on 15 May 2020 - 14:52

107

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Homology with Coefficients of an abelian group

Published on 21 May 2020 - 11:19

324

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Finite index subgroups of group extensions such that the quotient map is injective

Published on 26 Mar 2026 - 21:53

223

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Standard resolution group homology

Published on 10 Jun 2020 - 15:05

67

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$\textrm{GL}_2(\mathbb{Z}/p^2\mathbb{Z}) \to \textrm{GL}_2(\mathbb{Z}/p\mathbb{Z})$ has no section for $p > 3$

Published on 11 Jun 2020 - 2:05

974

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Group cohomology of finite cyclic group

Published on 11 Jun 2020 - 21:02

365

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Textbook of group cohomology and class field theory

Published on 14 Jun 2020 - 9:53

175

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Split extension of finite group and Sylow subgroup by $p$-group

Published on 15 Jun 2020 - 7:33

211

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Group cohomology of Galois group of finite extension of finite fields

Published on 20 Jun 2020 - 10:07

74

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Showing that $f$ is always cohomologous to $f_m$, for some $m$.

Published on 22 Jun 2020 - 7:53

81

Views

Cohomology of Solvable Groups

Published on 24 Jun 2020 - 23:02

123

Views

Is group cohomology more about G-modules than about groups?

Published on 26 Jun 2020 - 22:12

List Question

Fundamental class of the group cohomology of the fundamental group of an orientable surface of genus $g$.

$H^{1}(\mathbb{Q},\mathbb{Z})=?$

How to show that a short exact sequence induces an SES on cochain complexes?

Isomorphism between $H^1(\mathbb{Z}_p, M)$ and $M_{\mathbb{Z}_p}$

Homology with Coefficients of an abelian group

Finite index subgroups of group extensions such that the quotient map is injective

Standard resolution group homology

$\textrm{GL}_2(\mathbb{Z}/p^2\mathbb{Z}) \to \textrm{GL}_2(\mathbb{Z}/p\mathbb{Z})$ has no section for $p > 3$

Group cohomology of finite cyclic group

Textbook of group cohomology and class field theory

Split extension of finite group and Sylow subgroup by $p$-group

Group cohomology of Galois group of finite extension of finite fields

Showing that $f$ is always cohomologous to $f_m$, for some $m$.

Cohomology of Solvable Groups

Is group cohomology more about G-modules than about groups?

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