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Cyclic Artin-Schreier-Witt extension of order $p^2$

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#field-theory #galois-theory #positive-characteristic
109
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Is $\mathbb{Q}(\gamma):\mathbb{Q}$ normal where $\gamma$ is a zero of $p(t) = t^3 - 3t^2 +3$

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#galois-theory
985
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Galois group of $x^n+1$ over $\Bbb Q$

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#abstract-algebra #galois-theory #splitting-field #cyclotomic-fields
176
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Showing two splitting fields are different

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#galois-theory #roots #splitting-field
98
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Are these fields quadratic extensions of some subfields?

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#field-theory #galois-theory #finite-fields
216
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Is the identity the only automorphism in $\mathrm{Gal}(f)$ that fixes all the roots of $f$?

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#galois-theory
315
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Lang undergraduate algebra about Galois theory

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#abstract-algebra #number-theory #field-theory #galois-theory
132
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Is there an easy way to calculate irreducible polynomials in GF(2^n)?

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#polynomials #galois-theory #finite-fields #irreducible-polynomials
90
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Given a Galois extension with $Gal_F(E) \simeq S_3$, is $E$ a splitting field of an irreducible cubic polynomial over F?

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#galois-theory #galois-extensions
217
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Why $\mathbb Q(\sqrt 3,\sqrt 5)=\mathbb Q(\sqrt 3+\sqrt 5)$?

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#galois-theory
101
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Lang under graduate algabra Ⅶ§4 question 17

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#abstract-algebra #number-theory #finite-groups #field-theory #galois-theory
196
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On the polynomial $x^m-a$ over $\mathbb{Q}$

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#field-theory #galois-theory
70
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Let $E = \mathbb{Q}(\sqrt{2}, \sqrt{5}, \sqrt{7})$. Find $\gamma \in E$ such that $E = \mathbb{Q}(\gamma)$

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#galois-theory
139
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Open normal subgroups of Galois

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#algebraic-geometry #galois-theory #algebraic-number-theory #arithmetic-geometry #etale-cohomology
375
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Galois theory for (non-commutative) division rings

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#reference-request #galois-theory #noncommutative-algebra #division-algebras #division-ring

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