List questions from galois-theory

Published on 06 Jul 2014 - 10:22

406

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Criteria for a solvable septic equation

Published on 08 Jul 2014 - 21:45

70

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Proving that a certain maximal subfield has countably infinite index

Published on 09 Jul 2014 - 20:58

840

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Prove that $k(\alpha+\beta)=k(\alpha,\beta)$

Published on 09 Jul 2014 - 23:09

74

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$(u+1)(u+2)\cdots(u+p)=u^p-u$

Published on 10 Jul 2014 - 15:30

1.3k

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What is the difference between field theory and Galois theory

Published on 10 Jul 2014 - 22:31

804

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Radical Solvable quintic polynomial.

Published on 10 Jul 2014 - 23:36

361

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How to show this is the minimal polynomial

Published on 12 Jul 2014 - 20:12

438

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Solvability of polynomials over fields of characteristic zero

Published on 15 Jul 2014 - 20:54

1.9k

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Find intermediate fields of $\mathbb{Q}(\sqrt[3]{2}, \sqrt{3},i) \, | \, \mathbb{Q}(i)$

Published on 02 Apr 2026 - 3:47

39

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Prove that $K=k(\alpha)$

Published on 02 Apr 2026 - 3:43

457

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find a polynomial whose roots are inverse of squares of roots of $x^3+px+q$

Published on 20 Jul 2014 - 4:06

211

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Action of $\mathbb Z_2$

Published on 26 Mar 2026 - 21:07

62

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$K \le B\le F$, If $F$ Galois over $K$ $\Rightarrow$ $F$ a Galois over $B$

Published on 27 Jul 2014 - 9:57

101

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Galois extension preserves irreducibility

Published on 28 Mar 2026 - 4:33

List Question

A finite group $G$ is isomorphic to $\operatorname{Gal}(f,K)$.

Criteria for a solvable septic equation

Proving that a certain maximal subfield has countably infinite index

Prove that $k(\alpha+\beta)=k(\alpha,\beta)$

$(u+1)(u+2)\cdots(u+p)=u^p-u$

What is the difference between field theory and Galois theory

Radical Solvable quintic polynomial.

How to show this is the minimal polynomial

Solvability of polynomials over fields of characteristic zero

Find intermediate fields of $\mathbb{Q}(\sqrt[3]{2}, \sqrt{3},i) \, | \, \mathbb{Q}(i)$

Prove that $K=k(\alpha)$

find a polynomial whose roots are inverse of squares of roots of $x^3+px+q$

Action of $\mathbb Z_2$

$K \le B\le F$, If $F$ Galois over $K$ $\Rightarrow$ $F$ a Galois over $B$

Galois extension preserves irreducibility

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