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Unramified nonabelian extension of number field with class number 1

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#algebraic-number-theory
168
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Explicit calculation of residue fields in quadratic extensions

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#algebraic-number-theory
255
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How many solutions of the equation $ax^2 +by^2 = 1$ are there with $(x, y) ∈ \mathbb{F}_{p} ×\mathbb{F}_{p}$

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#algebraic-number-theory #finite-fields
152
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$D = \mathbb{Z} + \mathbb{Z} \sqrt{d}$ where $d \equiv 1 \bmod 4$, show that the principal ideal $2D$ is ramified.

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#algebraic-number-theory
52
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If $[K:\Bbb{Q}]=2$ then $K=\Bbb{Q}(\sqrt{d})$.

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#field-theory #algebraic-number-theory #extension-field #radicals
936
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Extensions of Chicken Nugget Theorem

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#linear-algebra #number-theory #algebraic-number-theory
82
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Statement of Artin Reciprocity by Silverman

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#algebraic-number-theory #class-field-theory
35
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Is it true that $f(e) \ne g(\pi) \,\,\forall f,g$ are non zero algebraic functions

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#algebraic-number-theory #transcendental-numbers
341
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Inverse of the principal ideal $(\sqrt{-15})$

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#commutative-algebra #algebraic-number-theory
513
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Marcus Number Fields Chapter 4 Exercise 8

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#number-theory #prime-numbers #algebraic-number-theory
211
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A special inverse Galois problem

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#field-theory #galois-theory #algebraic-number-theory #algebraic-numbers
139
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Why Galois group of $K[ζ_{p^r}]/K[ζ_p]$ is cyclic?

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#field-theory #algebraic-number-theory #class-field-theory
60
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find the generator of an ideal of an order

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#algebraic-number-theory
103
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Mordell's Equation Solutions

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#algebraic-number-theory
72
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Morphism is étale

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#abstract-algebra #algebraic-geometry #algebraic-number-theory

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