List questions from galois-theory

Published on 26 Mar 2026 - 6:21

60

Views

$E/K$ is finite Galois extension. Let $G(E/K)=\{\sigma_i\}$ be its Galois group. Then $\sigma_i$ are linearly independent over $E$?

Published on 20 May 2018 - 16:00

132

Views

Galois group of the minimal polynomial of $\sqrt{\sqrt5 + 2}$

Published on 20 May 2018 - 16:57

47

Views

Does the degree of the splitting field of any irreducible $n$-degree polynomial equal $n$?

Published on 25 Mar 2026 - 9:50

467

Views

The Galois group of a specialized polynomial

Published on 23 Mar 2026 - 4:21

252

Views

Is there a general method to find the size of the Galois group of a cubic polynomial over $\mathbb{Q}$?

Published on 25 Mar 2026 - 23:13

254

Views

Cyclotomic extensions and thoughts on roots of unity.

Published on 20 Mar 2026 - 1:14

64

Views

If a rational function satisfies $h(t)=h(1/t)$, then $h(t)=f(t+1/t)$

Published on 25 Mar 2026 - 11:07

79

Views

Classification of fields with only separable finite degree fields extensions

Published on 21 May 2018 - 21:35

867

Views

discriminant of $x^p-1$

Published on 24 Mar 2026 - 17:38

31

Views

How to find polynomial of minimal degeree?

Published on 22 May 2018 - 19:58

992

Views

Prove $\mathbb{Q}(2^{1/4})/ \mathbb{Q}$ is NOT a Galois extension.

Published on 25 Mar 2026 - 23:09

4.8k

Views

Let $a$ be a $p$-cycle in $S_p$, and let $b$ be a transposition in $S_p$. Show $S_p$ is generated by $a$ and $b$.

Published on 25 Mar 2026 - 13:57

78

Views

Finding all $F $ automorphisms

Published on 25 Mar 2026 - 23:09

456

Views

Classification of groups with integer valued characters

Published on 26 Mar 2026 - 21:13

List Question

How many subfields of order $p^m$ in $\mathbb{F}_{p^n}$

$E/K$ is finite Galois extension. Let $G(E/K)=\{\sigma_i\}$ be its Galois group. Then $\sigma_i$ are linearly independent over $E$?

Galois group of the minimal polynomial of $\sqrt{\sqrt5 + 2}$

Does the degree of the splitting field of any irreducible $n$-degree polynomial equal $n$?

The Galois group of a specialized polynomial

Is there a general method to find the size of the Galois group of a cubic polynomial over $\mathbb{Q}$?

Cyclotomic extensions and thoughts on roots of unity.

If a rational function satisfies $h(t)=h(1/t)$, then $h(t)=f(t+1/t)$

Classification of fields with only separable finite degree fields extensions

discriminant of $x^p-1$

How to find polynomial of minimal degeree?

Prove $\mathbb{Q}(2^{1/4})/ \mathbb{Q}$ is NOT a Galois extension.

Let $a$ be a $p$-cycle in $S_p$, and let $b$ be a transposition in $S_p$. Show $S_p$ is generated by $a$ and $b$.

Finding all $F $ automorphisms

Classification of groups with integer valued characters

Trending Questions

Popular # Hahtags

Popular Questions