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Equivalence ramification group definition

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#algebraic-number-theory #local-field
368
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Maximal tamely ramified extension of $\mathbb{Q}_p$

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#galois-theory #p-adic-number-theory #roots-of-unity #local-field
67
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definition of local field

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#abstract-algebra #field-theory #local-field
43
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Imaginary quadratic extensions in characteristic 2

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#field-theory #finite-fields #local-field #function-fields
196
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Norm Group of unramified extension of certain degree

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#algebraic-number-theory #class-field-theory #local-field
55
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How is $\mathbb{F}_p^*$ a subgroup of $\mathrm{Gal}(\mathbb{Q}_p)^{ab}$

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#galois-theory #local-field
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Quadratic extensions of $p$-adic fields

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#galois-theory #p-adic-number-theory #local-field
35
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How do i see easily that $B'/\mathfrak{p}B'=B/\mathfrak{p}B$?

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#number-theory #local-field
46
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Reduction step for studying cyclic algebras over local fields

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#abstract-algebra #local-field #ramification #brauer-group
48
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Hensel's Lemma in $\mathbb{C} (\!( s )\!)$

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#galois-theory #local-field #hensels-lemma
86
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Equivalent condition for an extension of local fields to be unramified

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#number-theory #local-field #ramification
910
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Understanding the Galois group of a maximal unramified extension of a local field extension

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#abstract-algebra #galois-theory #algebraic-number-theory #local-field
195
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Dieudonné module of the constant group scheme $\mathbb Z/p^n\mathbb Z$

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#abstract-algebra #field-theory #schemes #local-field
91
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Is the trace map open for $p$-adic field?

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#algebraic-number-theory #p-adic-number-theory #local-field
68
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Finding the number of elements of a quotient group.

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#p-adic-number-theory #quotient-group #local-field

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