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15
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Classifying abelian extensions of number fields with class field theory

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#algebraic-number-theory #class-field-theory #local-field #adeles
101
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Conditions for the tower of Galois extensions of local fields to be a Galois extension

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#number-theory #field-theory #galois-theory #extension-field #local-field
79
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Is $v((f \circ g)(x)) \geq v(f(x))+v(g(x))$, where $v$ is p-adic valuation?

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#number-theory #p-adic-number-theory #valuation-theory #local-field
267
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Number of extensions of a local field of fixed degree

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#abstract-algebra #field-theory #proof-explanation #algebraic-number-theory #local-field
48
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When is a local extension unramified by discriminant

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#algebraic-number-theory #elliptic-curves #local-field
126
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Is a field with archimedean absolute value with compact unit sphere complete?

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#field-theory #valuation-theory #local-field
76
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Showing degree of global extension is sum of degree of local extensions

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#abstract-algebra #field-theory #algebraic-number-theory #valuation-theory #local-field
68
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Explicit calculation of norm groups in Q_p

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#algebraic-number-theory #class-field-theory #local-field
68
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More examples of non-split algebraic groups

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#algebraic-geometry #representation-theory #algebraic-groups #local-field #reductive-groups
27
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Trivial Artin map on $F(\zeta)_{\frak P}$

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#extension-field #local-field #adeles
82
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Definition of a non-split root subgroup

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#algebraic-geometry #representation-theory #lie-algebras #local-field #reductive-groups
74
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Local fields vs. self-Pontryagin-dual locally compact fields with self-dual Schwartz-Bruhat functional

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#number-theory #local-field
95
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Etale cohomology of $Spec(ₚ^{\text{sep}}((t)))$

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#group-cohomology #local-field #etale-cohomology #galois-cohomology
31
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Equivalence class of valuations on a field.

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#local-field
101
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A localization sequence for étale cohomology of $\mathcal O_K$, where $K$ is a local field

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#class-field-theory #local-field #etale-cohomology

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