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$(K^*)$ in $K^*$

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#algebraic-number-theory #class-field-theory #local-field
114
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Surjectivity of the inv map in Global class field theory

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#number-theory #class-field-theory #galois-cohomology
573
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On the Galois group of the maximal $p$-abelian $p$-ramified extension of a number field

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#algebraic-number-theory #class-field-theory #local-field
119
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Which primes are ramified?

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#number-theory #algebraic-number-theory #splitting-field #class-field-theory #ramification
110
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Computing Hilbert Class Field of a number field

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#class-field-theory
1.1k
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Existence of totally real number fields of any degree

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#algebraic-number-theory #analytic-number-theory #class-field-theory
278
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How is the Artin map defined for ramified extensions?

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#abstract-algebra #algebraic-number-theory #class-field-theory
581
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Brauer group of global fields

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#algebraic-geometry #algebraic-number-theory #arithmetic-geometry #class-field-theory #brauer-group
165
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Adeles under base change

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#number-theory #class-field-theory #local-field
47
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What is the structure of the $H$?

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#number-theory #class-field-theory
274
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Maximal Binary Quadratic Forms

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#number-theory #quadratic-forms #class-field-theory #discriminant
55
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Problem Understanding a Definition of Order of a Field

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#algebraic-number-theory #class-field-theory
436
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Class number of cubic subfield of $\mathbb{Q}(\zeta_p)$ is 1 mod 3?

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#algebraic-number-theory #class-field-theory
225
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Examples of Finite-index Open Subgroups of Idele Class Group

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#abstract-algebra #number-theory #algebraic-number-theory #class-field-theory
337
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Why are global norms also local norms?

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#number-theory #algebraic-number-theory #class-field-theory

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