List questions from galois-theory

Published on 05 Sep 2014 - 19:57

145

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Degree of the field extension.

Published on 06 Sep 2014 - 16:42

79

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Solvability of the groups.

Published on 06 Sep 2014 - 17:06

3.1k

Views

Normal Basis Theorem Proof

Published on 02 Apr 2026 - 10:44

162

Views

Field Extension, Splitting Field and Galois Theory

Published on 07 Sep 2014 - 13:38

87

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Is $F\subset F(a,b)$ a Galois extension?

Published on 07 Sep 2014 - 15:20

470

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The determination of the Galois group of a polynomial

Published on 25 Mar 2026 - 4:58

139

Views

Prove that there exists a sequence of intermediate fields.

Published on 08 Sep 2014 - 14:28

223

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How to show that any solvable transitive subgroup of S$_p$ where $p$ is a prime has a conjugate contained in Aff($\mathbf F_p$)?

Published on 08 Sep 2014 - 21:44

100

Views

$[F(t):F(t^n)]=n$ where $t$ is trascendental

Published on 09 Sep 2014 - 0:19

353

Views

Any general "formula" solutions for higher order polynomial equation?

Published on 30 Mar 2026 - 15:50

957

Views

Normal extension and group of automorphisms

Published on 02 Apr 2026 - 10:45

97

Views

How to write a particular fixed field as a simple extension of $\mathbb{R}$? (Morandi's book)

Published on 02 Apr 2026 - 8:59

116

Views

Constructing common extension of two finite fields

Published on 31 Mar 2026 - 5:41

2.8k

Views

dimension of $\mathbb{Q}(\sqrt2)$

Published on 17 Sep 2014 - 17:10

List Question

Field made of real&imaginary parts of members of another field

Degree of the field extension.

Solvability of the groups.

Normal Basis Theorem Proof

Field Extension, Splitting Field and Galois Theory

Is $F\subset F(a,b)$ a Galois extension?

The determination of the Galois group of a polynomial

Prove that there exists a sequence of intermediate fields.

How to show that any solvable transitive subgroup of S$_p$ where $p$ is a prime has a conjugate contained in Aff($\mathbf F_p$)?

$[F(t):F(t^n)]=n$ where $t$ is trascendental

Any general "formula" solutions for higher order polynomial equation?

Normal extension and group of automorphisms

How to write a particular fixed field as a simple extension of $\mathbb{R}$? (Morandi's book)

Constructing common extension of two finite fields

dimension of $\mathbb{Q}(\sqrt2)$

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