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15
160
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Chebotarev's theorem on cyclotomic extensions.

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#galois-theory #algebraic-number-theory #class-field-theory #cyclotomic-fields
278
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Proof of Chebotarev Density Theorem without Artin Reciprocity

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#number-theory #class-field-theory #l-functions
79
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Statement of Artin Reciprocity by Silverman

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#algebraic-number-theory #class-field-theory
134
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Why Galois group of $K[ζ_{p^r}]/K[ζ_p]$ is cyclic?

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#field-theory #algebraic-number-theory #class-field-theory
349
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Does this Galois group determine the class ideal class group?

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#galois-theory #algebraic-number-theory #class-field-theory
56
Views

Multiplication by an element inducing the identity on a quotient

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#algebraic-number-theory #elliptic-curves #class-field-theory #complex-multiplication
242
Views

Cyclic extension and primes that totally, tamely ramify

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#number-theory #algebraic-number-theory #class-field-theory
788
Views

Some properties about prime ideal under Galois extension

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#algebraic-number-theory #maximal-and-prime-ideals #class-field-theory #galois-extensions #ramification
329
Views

Open subgroup of units of local field (norm index computation)

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#number-theory #p-adic-number-theory #class-field-theory #local-field
56
Views

What is $\widehat{G}$ here in transfer kernel?

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#number-theory #algebraic-number-theory #class-field-theory
118
Views

Construction of free resolution of modules over a group ring.

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#algebraic-number-theory #class-field-theory
74
Views

"Inverting" the Artin map in terms of characters

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#algebraic-number-theory #class-field-theory #quadratic-reciprocity
127
Views

Norm topology and usual topology in a p-adic field

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#algebraic-number-theory #p-adic-number-theory #class-field-theory #local-field
421
Views

Inertia group in local class field theory

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#algebraic-number-theory #arithmetic-geometry #class-field-theory
132
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Are the rank and the corank of the cohomologies of the given Tate module the same?

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#algebraic-number-theory #class-field-theory #galois-cohomology

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