List questions from extension-field

Published on 29 Mar 2020 - 18:35

89

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Question in proof of a theorem in Field Theory

Published on 31 Mar 2020 - 7:36

82

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Prove that $K = \mathbb{Q}[i, \sqrt{2}] = \mathbb{Q}[i + \sqrt{2}]$

Published on 31 Mar 2020 - 18:58

89

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A problem about irreducible polynomials over a finite field.

Published on 30 Mar 2026 - 0:04

71

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Prove $F[x]/\langle p(cx)\rangle\cong F[x]/\langle p(x)\rangle$

Published on 01 Apr 2020 - 15:53

93

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Finding automorphism group for finite fields

Published on 29 Mar 2026 - 13:39

111

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Elements of $\mathbb{Q}_p (p^{1/p^\infty})$

Published on 28 Mar 2026 - 20:22

134

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The power of Archimedean spirals: is there an algebraic characterization of Archimedean numbers?

Published on 26 Mar 2026 - 19:20

64

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unramified prime in pure quintic field

Published on 03 Apr 2020 - 14:11

149

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Galois Extensions and Splitting Fields of Separable Polynomials

Published on 26 Mar 2026 - 16:11

36

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More Concrete Form for a Composite Field

Published on 04 Apr 2020 - 22:17

41

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Condition for Intermediate Field to be Galois

Published on 06 Apr 2020 - 4:38

56

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Cancellation for Field Extensions

Published on 06 Apr 2020 - 23:34

183

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Discrete valuation on an algebraic function field

Published on 26 Mar 2026 - 9:16

47

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Take a galois group $Gal(K/\mathbb{Q})$ isomorphic to $C_{16}$. How many subfields $L$ exist such that $[K:L] = 4$?

Published on 08 Apr 2020 - 15:45

List Question

Why $a/b$ is a square and $\sqrt{b}$ is a root of $p(cx)$ in a finite field

Question in proof of a theorem in Field Theory

Prove that $K = \mathbb{Q}[i, \sqrt{2}] = \mathbb{Q}[i + \sqrt{2}]$

A problem about irreducible polynomials over a finite field.

Prove $F[x]/\langle p(cx)\rangle\cong F[x]/\langle p(x)\rangle$

Finding automorphism group for finite fields

Elements of $\mathbb{Q}_p (p^{1/p^\infty})$

The power of Archimedean spirals: is there an algebraic characterization of Archimedean numbers?

unramified prime in pure quintic field

Galois Extensions and Splitting Fields of Separable Polynomials

More Concrete Form for a Composite Field

Condition for Intermediate Field to be Galois

Cancellation for Field Extensions

Discrete valuation on an algebraic function field

Take a galois group $Gal(K/\mathbb{Q})$ isomorphic to $C_{16}$. How many subfields $L$ exist such that $[K:L] = 4$?

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