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15
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Explicit description of the group of homomorphisms from $\mathbb{Z}_p^{\times}$ to $\mathbb{Z}/n$

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#group-theory #algebraic-number-theory #group-homomorphism
569
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On the Galois group of the maximal $p$-abelian $p$-ramified extension of a number field

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#algebraic-number-theory #class-field-theory #local-field
306
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How does the Galois group act on $E[m]$?

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#number-theory #algebraic-number-theory #elliptic-curves
113
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Which primes are ramified?

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#number-theory #algebraic-number-theory #splitting-field #class-field-theory #ramification
47
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Volume computation for an integral basis

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#algebraic-number-theory
733
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Ramification in cyclotomic field

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#algebraic-number-theory
83
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What does for places mean to “ be ramified over $\mathbb Q$”?

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#algebraic-number-theory
238
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Finite extension of $K$,a finite extension of $\mathbb{Q}_p$, that is Galois?

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#number-theory #galois-theory #algebraic-number-theory #local-field
143
Views

Two formulas involving relative discriminant

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#reference-request #algebraic-number-theory
71
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Why is $E[2]$ of $E: y^2 = x^3 - p$ over $\mathbb{Q}_p$ ramified?

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#number-theory #galois-theory #algebraic-number-theory #elliptic-curves #local-field
335
Views

Are there any $\mathbb{Q}_p$ which contains the third root of unity?

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#number-theory #algebraic-number-theory #local-field
101
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Real solution of equations of 2018

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#number-theory #algebraic-number-theory #analytic-number-theory #real-numbers #irrational-numbers
59
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Regarding action of a group factoring through

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#abstract-algebra #group-theory #algebraic-number-theory #group-actions
153
Views

Given a local field $K$ how does one obtain the maximal unramified extension of $K$?

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#number-theory #field-theory #algebraic-number-theory #local-field
1.6k
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Are all prime ideals in a Dedekind domain also principal ideals?

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#ring-theory #commutative-algebra #algebraic-number-theory

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