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15
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Computing degrees and ramification indices of some extensions of $\mathbb{Q}_2$

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#abstract-algebra #algebraic-number-theory #extension-field #local-field #ramification
84
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What is wrong with my conclusion (compositum of local fields)?

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#abstract-algebra #algebraic-number-theory #extension-field #local-field
1.8k
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Good reference for local fields?

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#reference-request #algebraic-number-theory #local-field
122
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sum of sequences converging to $0$

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#sequences-and-series #analysis #convergence-divergence #local-field
400
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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
51
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Indecomposable irreducible representation of $\mathrm{GL}(2, F)$ over local fields

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#representation-theory #local-field
29
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Unramified extension of $K_π$ and $K_{π,n}$

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#algebraic-number-theory #local-field
820
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Extending absolute values on local fields - what is the 'correct' normalization and the relation to the global theory?

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#number-theory #algebraic-number-theory #p-adic-number-theory #valuation-theory #local-field
767
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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
110
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Unramified extensions and base change

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#abstract-algebra #field-theory #local-field #ramification
201
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Complete valuation, norm of finite extension. Proof of Propositon.

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#field-theory #extension-field #valuation-theory #local-field
444
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Extension of degree 5 not obtained by adjoining a 5th root and whose normal closure contains a primitive 5th root of unity.

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#galois-theory #local-field #galois-extensions
31
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Continuity of product in absolute value

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#absolute-value #local-field
145
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Looking for the english translation of Serre's mass formula

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#number-theory #algebraic-number-theory #arithmetic #local-field
232
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Change of variables in $p$-adic integration

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#algebraic-number-theory #p-adic-number-theory #local-field

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