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proof of Gal($\mathbb{Q}^{ab}/\mathbb{Q}$) $\rightarrow$ $\hat{\mathbb{Z}}^×$

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#number-theory #class-field-theory
196
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Norm Group of unramified extension of certain degree

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#algebraic-number-theory #class-field-theory #local-field
985
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Places of an algebraic number field

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#abstract-algebra #ring-theory #algebraic-number-theory #ideals #class-field-theory
40
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On the ambigous classes of quintic Kummer extension

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#abstract-algebra #number-theory #elementary-number-theory #extension-field #class-field-theory
462
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Algebraic closure of $k((t))$

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#abstract-algebra #extension-field #class-field-theory
132
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Ideal Class Group of $\mathbb{Q}(\sqrt{m})$

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#abstract-algebra #algebraic-number-theory #class-field-theory
190
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Global Tate Duality Exercise in Neukirch

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#number-theory #algebraic-number-theory #class-field-theory #galois-cohomology
69
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Number of Abelian Cubic Number Fields of given Discriminant

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#number-theory #field-theory #galois-theory #algebraic-number-theory #class-field-theory
426
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Why should we not consider $\mathbb{Q}(t)$ to be a global field?

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#number-theory #field-theory #algebraic-number-theory #valuation-theory #class-field-theory
82
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Class-Field-theory

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#algebraic-number-theory #class-field-theory
78
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Discriminant ideal of field extension $n(1+n)$ exponent

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#algebraic-number-theory #ideals #class-field-theory
627
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Books for Tate's Thesis

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#algebraic-number-theory #book-recommendation #harmonic-analysis #class-field-theory
173
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The relation between the Chebotarev density theorem and Artin $L$-series

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#abstract-algebra #number-theory #algebraic-number-theory #class-field-theory
269
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Prime splitting in imaginary squarefree quadratic field

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#ring-theory #algebraic-number-theory #class-field-theory #ramification
153
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Proof of Shapiro's lemma with injective resolutions

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#abstract-algebra #group-cohomology #class-field-theory

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