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15
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Cochain from ${\Bbb Z}$ and $\widehat{\Bbb Z}$.

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#group-theory #number-theory #commutative-algebra #homology-cohomology #galois-cohomology
109
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Applications of Galois cohomology outside number theory

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#field-theory #galois-theory #galois-cohomology
148
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Explicit Local Fundamental Class

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#number-theory #algebraic-number-theory #class-field-theory #local-field #galois-cohomology
163
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Definition of Galois Cohomology

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#group-cohomology #galois-cohomology
116
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Deriving functors on subcategories and profinite group cohomology

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#homological-algebra #derived-functors #profinite-groups #galois-cohomology
62
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If $\phi:G\longrightarrow A^{\times}$ is a nontrivial character, why is $H^1(G,A)=0$?

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#number-theory #galois-theory #group-cohomology #galois-cohomology
30
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Obstruction of existing a 2-cocycle in Galois cohomology with given local components

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#reference-request #algebraic-groups #class-field-theory #galois-cohomology
68
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Kernel of the local-global map for first galois cohomology of $m$-torsion group

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#number-theory #algebraic-geometry #commutative-algebra #elliptic-curves #galois-cohomology
29
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Understanding the action that comes with $H^1_{cont}(G_K,GL_n(\mathbb{C}_p))$?

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#galois-representations #galois-cohomology
88
Views

What's the group extension corresponding to the sum of 2 classes of $H^2(G,A)$

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#group-theory #homology-cohomology #group-cohomology #group-extensions #galois-cohomology
91
Views

Proving that the first Galois cohomology group is direct limit of finite quotients

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#number-theory #galois-theory #elliptic-curves #profinite-groups #galois-cohomology
103
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Hilbert's Theorem 90 for polynomial rings

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#number-theory #algebraic-geometry #elliptic-curves #galois-cohomology
65
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Künneth theorem for profinite cohomology.

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#reference-request #homology-cohomology #group-cohomology #profinite-groups #galois-cohomology
88
Views

Applications of the Tate-Shafarevich group in class field theory

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#applications #class-field-theory #galois-cohomology
145
Views

Equivalence of Hasse and Artin reciprocity laws

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#algebraic-number-theory #class-field-theory #galois-cohomology

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