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Galois group of the splitting field of $ x^6 - 5$

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#polynomials #field-theory #galois-theory
858
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A Fixed Field of $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5})$

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#abstract-algebra #field-theory #galois-theory
55
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Irreducibility in Galois/non Galois Extensions

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#abstract-algebra #field-theory #galois-theory
96
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Characterization of the transcendentals over a field

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#abstract-algebra #algebraic-geometry #galois-theory #algebraic-curves
140
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Rational functions are decomposed in polynomial products

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#abstract-algebra #algebraic-geometry #polynomials #galois-theory #algebraic-curves
75
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The ring of fractions $K(x)$ is the field generated by $K$ and $x$.

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#abstract-algebra #algebraic-geometry #polynomials #galois-theory #algebraic-curves
489
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Primitive element of the fixed field of a subgroup of the galois group of a prime cyclotomic extension

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#galois-theory #extension-field #cyclotomic-polynomials
338
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Computing $\text{Gal}(\mathbb{Q}^{ab}/\mathbb{Q})$

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#number-theory #galois-theory #topological-groups #class-field-theory #adeles
484
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Milne's Galois Theory Example

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#abstract-algebra #number-theory #field-theory #galois-theory #extension-field
70
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Extensions of degree $1$.

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#abstract-algebra #field-theory #galois-theory #extension-field
110
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Sources about transcendence degree

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#abstract-algebra #algebraic-geometry #field-theory #galois-theory #algebraic-curves
69
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Isomorphic algebraic closures.

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#abstract-algebra #field-theory #galois-theory
364
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Kernel of a group homomorphism (Galois theory question)

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#abstract-algebra #galois-theory
389
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Galois Group of $x^p-x+a$ over $\mathbb{F}_p$ for prime $p$ and $a\neq 0\in \mathbb{F}_p$

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#abstract-algebra #galois-theory #finite-fields
62
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Places of this extension

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#abstract-algebra #field-theory #galois-theory #extension-field #valuation-theory

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