List questions from galois-theory

Published on 21 Nov 2014 - 18:36

749

Views

On Galois closure

Published on 22 Nov 2014 - 11:08

90

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Splitting field of $1 + x^3 + x^6 + x^9$

Published on 23 Nov 2014 - 3:00

85

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$F/E$ a finite Galois extension, the integral closure of $E[X]$ in $F(X)$

Published on 31 Mar 2026 - 4:45

91

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question on Galois group

Published on 23 Nov 2014 - 13:08

101

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Let $f = x^4 + ax^2 + bx + c \in K[x]$ be an irreducible and separable polynomial and $L/K$ be its splitting field extension.

Published on 23 Nov 2014 - 21:24

146

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Converse of Galois Theorem.

Published on 24 Nov 2014 - 0:48

893

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Showing this field extension is not normal

Published on 02 Apr 2026 - 22:55

1.1k

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Galois group of a polynomial and subfields

Published on 02 Apr 2026 - 23:02

203

Views

Finding whether a field extension is normal and/or separable

Published on 02 Apr 2026 - 22:55

574

Views

Galois group of $f = x^5 - 2x^3 - x^2 + 2$

Published on 02 Apr 2026 - 22:58

561

Views

Basis for field extension $\mathbb{Q}(\zeta , \sqrt[3]{2})/\mathbb{Q}$

Published on 02 Apr 2026 - 22:57

133

Views

Question on Galois

Published on 27 Nov 2014 - 13:08

352

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Compositum of all Galois extensions of prime power degree

Published on 27 Nov 2014 - 15:49

742

Views

Finding a fixed subfield of $\mathbb{Q}(t)$

Published on 27 Nov 2014 - 17:16

List Question

degree of extension of rationals adjoin infinitely many roots

On Galois closure

Splitting field of $1 + x^3 + x^6 + x^9$

$F/E$ a finite Galois extension, the integral closure of $E[X]$ in $F(X)$

question on Galois group

Let $f = x^4 + ax^2 + bx + c \in K[x]$ be an irreducible and separable polynomial and $L/K$ be its splitting field extension.

Converse of Galois Theorem.

Showing this field extension is not normal

Galois group of a polynomial and subfields

Finding whether a field extension is normal and/or separable

Galois group of $f = x^5 - 2x^3 - x^2 + 2$

Basis for field extension $\mathbb{Q}(\zeta , \sqrt[3]{2})/\mathbb{Q}$

Question on Galois

Compositum of all Galois extensions of prime power degree

Finding a fixed subfield of $\mathbb{Q}(t)$

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