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15
280
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Why are all Frobenius elements conjugated?

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#group-theory #galois-theory #algebraic-number-theory #local-field #galois-representations
112
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Do the local polynomials of Weil representations coincide if they are Artin representations (factor through a finite quotient)?

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#abstract-algebra #representation-theory #algebraic-number-theory #local-field #galois-representations
528
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Why can we always restrict an Galois representation so that it becomes unramified?

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#abstract-algebra #algebraic-number-theory #local-field #ramification #galois-representations
185
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The local invariant map is a group homomorphism

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#class-field-theory #local-field #brauer-group
383
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Characterization of finite cyclic totally ramified extension of local fields with prime power degree

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#abstract-algebra #group-theory #algebraic-number-theory #local-field #ramification
109
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About the existence of tamely ramified extensions

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#algebraic-number-theory #absolute-value #valuation-theory #local-field
329
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Unramified subextension of the Galois closure of a totaly ramified $p$-adic field

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#galois-theory #algebraic-number-theory #local-field #ramification
310
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Relation between local and global inertia/ramification degrees

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#number-theory #algebraic-number-theory #p-adic-number-theory #local-field #ramification
72
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Newton polygon : Show that precisely $ l$ of the $ \lambda_i$ are equal to $ \lambda$

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#algebraic-number-theory #p-adic-number-theory #local-field
116
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Image of a character remains the same when restricting to a totally ramified extension

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#abstract-algebra #group-theory #algebraic-number-theory #local-field #ramification
355
Views

Construction of cyclic local field extensions of arbitrary degree and ramification index

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#abstract-algebra #galois-theory #algebraic-number-theory #local-field #ramification
45
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Local fields. A $p$ - field $(k,v)$ with $\mathfrak{l=o/p}=\mathbb{F}_q$. Proof of lemma.

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#valuation-theory #local-field
386
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Ramified Field Extensions

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#field-theory #algebraic-number-theory #local-field #ramification
600
Views

Cyclic Field Extension of Local Field

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#field-theory #algebraic-number-theory #local-field #kummer-theory
186
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Proof of a Lemma for a local field extension with certain properties

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#abstract-algebra #algebraic-number-theory #extension-field #local-field #ramification

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