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15
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Absolute Galois group of the p-adic completion of a valuation field

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#number-theory #galois-theory #local-field #galois-representations
34
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Formal groups over discrete valuation rings

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#algebraic-number-theory #class-field-theory #local-field
33
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What is the local character given by class field theory?

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#algebraic-number-theory #class-field-theory #local-field
39
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Absolute values and Galois action

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#galois-theory #group-actions #local-field
81
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Factorization of polynomials in $\mathbb{Q_p}[X]$

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#algebraic-number-theory #extension-field #local-field
48
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Lang exercise 50 on Witt vectors

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#number-theory #field-theory #galois-theory #class-field-theory #local-field
24
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Geometric interpretation of Lefschetz number for local fields

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#number-theory #intersection-theory #affine-schemes #local-field #ramification
173
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$H^1(\text{Gal}(L/K), O_L)=0$ for local fields

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#algebraic-number-theory #group-cohomology #local-field #galois-cohomology
54
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Composition unramified for every extension

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#algebraic-number-theory #local-field #ramification
55
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Completion of a non-Galois extension

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#number-theory #local-field
50
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Is maximal ideal of $\mathfrak{p}$ adic number field ideal extension of $\mathfrak{p}$?

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#number-theory #ring-theory #algebraic-number-theory #local-field
106
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Can a local field be local in more than one way?

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#number-theory #field-theory #algebraic-number-theory #p-adic-number-theory #local-field
103
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Show by Local Class Field Theory $\mathbf Q_p$ has unique Galois ext. iso. to $(Z/2Z)^2$ if $p > 2$, and unique Galois ext. iso. to $(Z/2Z)^3$ o/w.

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#number-theory #algebraic-number-theory #alternative-proof #class-field-theory #local-field
29
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The index of multiplicative group of local field

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#local-field
33
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Construction of the Adelic Metaplectic Group

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#number-theory #reference-request #local-field #symplectic-linear-algebra

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