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Totally Tamely Ramified Field Extension

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#field-theory #class-field-theory
114
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About the Artin symbol

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#class-field-theory
126
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Artin reciprocity

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#class-field-theory
75
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$n\in \mathbf{N}$ such that a solution of $X^4+nX^2 +1$ is a root of unit

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#number-theory #algebraic-number-theory #class-field-theory #integer-rings
398
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cyclic extension of prime power of a local field

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#galois-theory #cyclic-groups #class-field-theory #local-field #galois-extensions
97
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Class field axiom III-1 in Serre's "Local Fields"

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#algebraic-number-theory #class-field-theory
219
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Brauer Group for a Global Field with $l$-roots of unity $l\neq \text{char}(F)$

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#algebraic-number-theory #class-field-theory #brauer-group
764
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Meaning of Hasse-Arf theorem

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#number-theory #soft-question #algebraic-number-theory #class-field-theory #local-field
100
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Generalized Principal ideal theorem for ray class groups

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#algebraic-number-theory #class-field-theory
377
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How many equivalence classes of squares are there?

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#abstract-algebra #combinatorics #group-theory #symmetric-groups #class-field-theory
110
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Abelian extensions and the Artin map

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#algebraic-number-theory #class-field-theory
108
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Conductor of cyclic cubic extension of number field

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#number-theory #class-field-theory
86
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(Milne CFT p. 36) Showing an $A$-module in an exact sequence is cyclic.

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#abstract-algebra #algebraic-number-theory #class-field-theory
179
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Valuation of a number field element over a prime ideal in an order

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#algebraic-geometry #algebraic-number-theory #valuation-theory #class-field-theory
713
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What is the discriminant of this order $A=\mathbb{Z}[\alpha]\cap\mathbb{Z}[\alpha^{-1}]$?

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

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