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How does this imply that $O_L/\mathfrak{p} O_L$ has non-zero nilpotent element?

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#algebraic-number-theory #ramification
50
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Product of ramification groups: Is $G_i= H_i H'_i$?

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#algebraic-number-theory #local-field #ramification
201
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Values of Grössencharacter attached to CM elliptic curve

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#algebraic-number-theory #elliptic-curves #class-field-theory #ramification #complex-multiplication
34
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Product of ramification groups: Is $G_i= H_i H'_i$ in totally ramified case?

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#algebraic-number-theory #local-field #ramification
174
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Subfield contained in decomposition field

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#algebraic-number-theory #ramification
205
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Splitting in cyclotomic field $Q(\zeta_5)$

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#number-theory #cyclotomic-fields #ramification
658
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Two different ways of presenting the ring of S-integers

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#algebraic-number-theory #integers #ramification
378
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What is known about the ramification index of ramified primes in an arbitrary cyclotomic extension of $\mathbb{Q}$

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#abstract-algebra #number-theory #elementary-number-theory #algebraic-number-theory #ramification
776
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Ramification of the prime at infinity of function fields

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#number-theory #algebraic-number-theory #ramification
824
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totally split primes in a number field

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#number-theory #prime-numbers #ramification
1.3k
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Computing a uniformizer in a totally ramified extension of $\mathbb{Q}_p$.

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#field-theory #algebraic-number-theory #p-adic-number-theory #local-field #ramification
82
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Quick question: a 2:1 map onto the projective line

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#algebraic-geometry #vector-bundles #ramification
799
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Splitting of Primes in a Given Field

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#number-theory #algebraic-number-theory #ramification
105
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Number Theory: Ramification

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#number-theory #ideals #ramification
363
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Show that a Field Extension is Unramified Using Transitivity

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#number-theory #algebraic-number-theory #extension-field #ramification

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