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15
61
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Explicit image of elements in completion of $\mathbb{Q}(i)$

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#number-theory #algebraic-number-theory #tensor-products #p-adic-number-theory #local-field
101
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Maximal abelian extension of finite abelian Galois extension of local fields of characteristic 0

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#galois-theory #algebraic-number-theory #class-field-theory #local-field
50
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Galois cohomology of product

Published on
#local-field #galois-cohomology
71
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Reference for conjugacy in unit group of local quaternion algebra

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#reference-request #quaternions #local-field
71
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Inverse image of a p-adic disk under a polynomial

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#number-theory #p-adic-number-theory #local-field
35
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Topology of extension of local fields.

Published on
#general-topology #number-theory #local-field
228
Views

When will two fields have same ramification index over $\mathbb{Q}_p$

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#number-theory #algebraic-number-theory #p-adic-number-theory #local-field #ramification
38
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Explicit computation of the diameter of a point in the algebraic closure

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#number-theory #galois-theory #algebraic-number-theory #galois-extensions #local-field
67
Views

Why it's a open neighbourhood?

Published on
#algebraic-number-theory #topological-groups #local-field
41
Views

A problem about open subgroup.

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#algebraic-number-theory #topological-groups #local-field
114
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Totally ramified extension of global field in terms of local field case

Published on
#class-field-theory #local-field #ramification
86
Views

A consequence of Hasse's reciprocity law of simple algebras

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#class-field-theory #local-field #division-algebras
87
Views

The quotient of totally ordered additive abelian groups which is torsion (value groups in valuation theory)

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#p-adic-number-theory #valuation-theory #local-field #torsion-groups #ordered-groups
64
Views

$p$-adic extension of $\mathbb{Q}_3$

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#extension-field #p-adic-number-theory #local-field
29
Views

Reduction of affine points on elliptic curve over local field

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#elliptic-curves #local-field

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