List questions from splitting-field

Published on 17 Jun 2020 - 8:47

188

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Galois correspondence of subgroups of $D_4$ with subfields of $\mathbb Q (\sqrt[4]{2},i)$

Published on 17 Jun 2020 - 18:08

276

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Splitting field of $x^3-2$ over $\Bbb Q$ are distinct but isomorphic

Published on 30 Jun 2020 - 12:00

475

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Ramification in a splitting field

Published on 25 Mar 2026 - 12:13

205

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In characteristic 2 the splitting field of a cubic has degree 6

Published on 25 Mar 2026 - 11:54

104

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Examining the Galois group of an quintic irreducible polynomial over $\Bbb Q$

Published on 17 Jul 2020 - 3:14

66

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A problem to show that a certain field extension is not normal

Published on 23 Feb 2026 - 1:03

79

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$X^3-2$ splits completely in an extension of $\mathbb F_7$

Published on 06 Jul 2016 - 14:11

52

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Field structure of non solvable field extensions

Published on 17 Jul 2016 - 6:55

200

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Does any isomorphism of splitting fields automatically fix the base field?

Published on 18 Jul 2016 - 9:19

80

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Study of $\mathbb Q(\xi_{12})/\mathbb Q$

Published on 25 Mar 2026 - 11:25

199

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Relationship between $x^{p-1} - a$ and $x^p - ax - b$

Published on 07 Aug 2016 - 22:21

24

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Splitting field of a $p$-group

Published on 13 Aug 2016 - 16:05

67

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Find a between field $\mathbb{Q}\subseteq K\subseteq L$ with $[K:\mathbb{Q}]=2$.

Published on 29 Aug 2016 - 9:38

680

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software to compute the degree of the splitting field of a polynomial over $\mathbb{Q}$

Published on 25 Mar 2026 - 8:10

List Question

Verify fundamental theorem of Galois for splitting field of $X^4\pm2\in\mathbb {Q}[X]$

Galois correspondence of subgroups of $D_4$ with subfields of $\mathbb Q (\sqrt[4]{2},i)$

Splitting field of $x^3-2$ over $\Bbb Q$ are distinct but isomorphic

Ramification in a splitting field

In characteristic 2 the splitting field of a cubic has degree 6

Examining the Galois group of an quintic irreducible polynomial over $\Bbb Q$

A problem to show that a certain field extension is not normal

$X^3-2$ splits completely in an extension of $\mathbb F_7$

Field structure of non solvable field extensions

Does any isomorphism of splitting fields automatically fix the base field?

Study of $\mathbb Q(\xi_{12})/\mathbb Q$

Relationship between $x^{p-1} - a$ and $x^p - ax - b$

Splitting field of a $p$-group

Find a between field $\mathbb{Q}\subseteq K\subseteq L$ with $[K:\mathbb{Q}]=2$.

software to compute the degree of the splitting field of a polynomial over $\mathbb{Q}$

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