List questions from galois-extensions

Published on 08 Feb 2022 - 3:35

57

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Commutative ring Galois extension with two non-isomorphic Galois groups

Published on 09 Feb 2022 - 18:58

205

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Galois group of a function field over finite field

Published on 26 Mar 2026 - 16:06

209

Views

Chapter 1, Proposition 14 of Lang's number theory - further explanation for normality

Published on 23 Feb 2026 - 23:09

105

Views

Testing membership of elliptic curve points in subgroups of binary extension fields

Published on 02 Mar 2022 - 15:10

113

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What is the Galois group of $x^n + 2x^{n-1} + \dots + nx - 1$?

Published on 16 Mar 2022 - 21:56

96

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A polynomial is irreducible in a splitting field of another polynomial

Published on 02 Apr 2022 - 15:16

52

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Isomorphism of Galois Groups

Published on 04 Apr 2022 - 15:58

58

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Show that $\mathbb{Q}(\sqrt{2+\sqrt{2}}): \mathbb{Q}$ is normal.

Published on 10 Apr 2022 - 2:25

45

Views

A dimension problem related to an abelian extension of a field

Published on 12 Apr 2022 - 3:03

108

Views

Existence of $p^{th}$ root in an inseparable extension

Published on 23 Feb 2026 - 23:06

182

Views

Finding a quartic polynomial whose resolvent cubic is given

Published on 13 Apr 2022 - 17:35

94

Views

$K(u, v) = K(u+v)$ when characteristic of $K=0$?

Published on 23 Feb 2026 - 23:05

138

Views

Connection between derivatives in Galois theory and calculus

Published on 19 Apr 2022 - 22:53

54

Views

Find a particular intermediate field $M$ such that $\mathbb{Q}\subset M\subset\mathbb{Q}(\sqrt{\frac{3+i\sqrt{7}}{2}})$.

Published on 23 Feb 2026 - 8:26

List Question

Enumerate the $\mathbb{Q}$-automorphisms of the normal extension $\mathbb{Q}(\sqrt[p]{2},\omega_p)$

Commutative ring Galois extension with two non-isomorphic Galois groups

Galois group of a function field over finite field

Chapter 1, Proposition 14 of Lang's number theory - further explanation for normality

Testing membership of elliptic curve points in subgroups of binary extension fields

What is the Galois group of $x^n + 2x^{n-1} + \dots + nx - 1$?

A polynomial is irreducible in a splitting field of another polynomial

Isomorphism of Galois Groups

Show that $\mathbb{Q}(\sqrt{2+\sqrt{2}}): \mathbb{Q}$ is normal.

A dimension problem related to an abelian extension of a field

Existence of $p^{th}$ root in an inseparable extension

Finding a quartic polynomial whose resolvent cubic is given

$K(u, v) = K(u+v)$ when characteristic of $K=0$?

Connection between derivatives in Galois theory and calculus

Find a particular intermediate field $M$ such that $\mathbb{Q}\subset M\subset\mathbb{Q}(\sqrt{\frac{3+i\sqrt{7}}{2}})$.

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