List questions from galois-theory

Published on 27 Feb 2020 - 1:39

188

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Definition of root and purely inseparable

Published on 27 Feb 2020 - 7:29

112

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Galois group of $x^4-x^2-3$ on $\mathbb{F}_5$

Published on 01 Apr 2026 - 20:28

248

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Showing that a Galois group is isomorphic to a subgroup of $GL_2(\mathbb{F}_p)$

Published on 28 Mar 2026 - 12:59

165

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Why in cyclotomic extension, Gal($K/F$) may not isomorphic to the whole $Z/nZ$?

Published on 25 Mar 2026 - 8:10

471

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Showing that the fifteenth cyclotomic polynomial is ireducible over $\mathbb{Q}$

Published on 26 Mar 2026 - 9:41

38

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Solvability arguments?

Published on 02 Mar 2020 - 21:17

80

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Is the isomorphism class of a Galois group a first-order property?

Published on 04 Apr 2026 - 12:45

22

Views

Form of $u,v \in \mathbb{C}[x,y]$ satisfying $\mathbb{C}(s_1,s_2,k_1,k_2)=\mathbb{C}(u,v)$

Published on 23 Feb 2026 - 2:40

95

Views

Minimum polynomial of the $11^{\text{th}}$ root of unity

Published on 26 Mar 2026 - 11:08

42

Views

How does one find the minimum polynomial for functions of the primitive element

Published on 04 Mar 2020 - 6:10

270

Views

How to understand F_p as subfield of F with characteristic p?

Published on 04 Mar 2020 - 7:36

257

Views

every irreducible polynomial has a root in a field extension

Published on 04 Mar 2020 - 20:20

296

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Complex numbers is an algebraic extension of Reals so what real Polynomial has root x+iy

Published on 05 Mar 2020 - 21:36

77

Views

Questions about the proof of constructible $n$-polygon

Published on 06 Mar 2020 - 10:44

List Question

Showing the existence of $b$ such that $a = b^p$

Definition of root and purely inseparable

Galois group of $x^4-x^2-3$ on $\mathbb{F}_5$

Showing that a Galois group is isomorphic to a subgroup of $GL_2(\mathbb{F}_p)$

Why in cyclotomic extension, Gal($K/F$) may not isomorphic to the whole $Z/nZ$?

Showing that the fifteenth cyclotomic polynomial is ireducible over $\mathbb{Q}$

Solvability arguments?

Is the isomorphism class of a Galois group a first-order property?

Form of $u,v \in \mathbb{C}[x,y]$ satisfying $\mathbb{C}(s_1,s_2,k_1,k_2)=\mathbb{C}(u,v)$

Minimum polynomial of the $11^{\text{th}}$ root of unity

How does one find the minimum polynomial for functions of the primitive element

How to understand F_p as subfield of F with characteristic p?

every irreducible polynomial has a root in a field extension

Complex numbers is an algebraic extension of Reals so what real Polynomial has root x+iy

Questions about the proof of constructible $n$-polygon

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