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15
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What follows from equality after reduction mod $p$ of closed subgroups of $\mathrm{GL}_n(\mathbb{Z}_p)$?

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#group-theory #p-adic-number-theory #local-field #profinite-groups
239
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Cyclotomic fields and valuation.

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#number-theory #algebraic-number-theory #local-field
159
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Is the group of local 1 units cyclic up to to finite index under the action of the Galois group?

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#number-theory #algebraic-number-theory #class-field-theory #local-field
409
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Broad idea of Lubin Tate group laws.

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#reference-request #algebraic-number-theory #local-field
83
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Why are unitary groups ramified at half the places?

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#group-theory #number-theory #algebraic-number-theory #local-field #reductive-groups
97
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Relation between reciprocity laws and split places

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#number-theory #algebraic-number-theory #class-field-theory #quadratic-reciprocity #local-field
1.4k
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Residue field of finite extension of p adic numbers is a finite field.

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#finite-fields #local-field
1.4k
Views

Another problem in primitive roots of unity in p adic integers

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#p-adic-number-theory #roots-of-unity #local-field
1.2k
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wildly ramified extensions and $p$-power roots of unity

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#number-theory #algebraic-number-theory #local-field #ramification
2.2k
Views

Relationship between wild ramification and restriction in Galois extension

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#galois-theory #algebraic-number-theory #local-field #ramification
53
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How to compute $\chi (M)$?

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#algebraic-number-theory #local-field
336
Views

The dual of the lattice.

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#algebraic-number-theory #dedekind-domain #local-field
42
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Conductor as the volume of integers

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#integration #volume #fourier-transform #characters #local-field
102
Views

A character on $\mathbb A_K$ induces a divisor

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#algebraic-number-theory #algebraic-curves #valuation-theory #divisors-algebraic-geometry #local-field
190
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Hasse-Minkowski principle fails

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#number-theory #prime-numbers #algebraic-number-theory #analytic-number-theory #local-field

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