Question

Optimal normal basis in Tower field construction

score 156 · Answer 1 · 2026-03-20 02:32:31

156

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Optimal normal basis in Tower field construction

Published on 20 Mar 2026 - 2:32

score 137 · Answer 2 · 2026-03-22 06:47:36

137

Views

Why is $p(\overline{x})=\overline{p(x)}$?

Published on 22 Mar 2026 - 6:47

score 329 · Answer 3 · 2026-03-21 08:35:23

329

Views

When a product of two primitive elements is also primitive?

Published on 21 Mar 2026 - 8:35

score 416 · Answer 4 · 2026-03-23 04:44:08

416

Views

Infinite Cyclotomic Extension of $\mathbb{Q}$

Published on 23 Mar 2026 - 4:44

score 698 · Answer 5 · 2026-03-24 11:43:38

698

Views

For Field extension, $[E :F]=1$ implies $E=F$

Published on 24 Mar 2026 - 11:43

score 1.6k · Answer 6 · 2026-03-22 03:39:43

1.6k

Views

If $\alpha$ separable over $F$ then $F(\alpha )/F$ is a separable extension.

Published on 22 Mar 2026 - 3:39

score 86 · Answer 7 · 2026-03-24 23:30:34

86

Views

Is linear disjunction a polynomial condition?

Published on 24 Mar 2026 - 23:30

score 86 · Answer 8 · 2026-03-19 17:53:36

86

Views

How to write cyclotomic field extensions $\mathbb{Q}(\zeta_n)$ in terms of roots and $i$?

Published on 19 Mar 2026 - 17:53

score 197 · Answer 9 · 2026-03-24 20:46:40

197

Views

$f\in K[X]$ irreducible odd degree, $\alpha, \beta\in\bar K$ distinct roots of $f$ $\Rightarrow$ neither $\alpha+\beta\in K$ nor $\alpha\beta\in K$

Published on 24 Mar 2026 - 20:46

score 543 · Answer 10 · 2026-03-25 04:39:23

543

Views

Is my proof that finite fields have order $p^n$ valid?

Published on 25 Mar 2026 - 4:39

score 89 · Answer 11 · 2026-03-20 01:08:20

89

Views

Computing dimension of the splitting field.

Published on 20 Mar 2026 - 1:08

score 65 · Answer 12 · 2018-01-23 00:37:07

65

Views

Finding an automorphism of $\mathbb{C}(x,y)$ that fixes two given elements

Published on 23 Jan 2018 - 0:37

score 172 · Answer 13 · 2026-03-17 16:54:55

172

Views

Minimal polynomial are same for $\lambda$ and $\lambda ^2$

Published on 17 Mar 2026 - 16:54

score 305 · Answer 14 · 2026-03-25 04:39:15

305

Views

splitting field for a finite dimensional central simple F-algebra$A$

Published on 25 Mar 2026 - 4:39

score 142 · Answer 15 · 2026-03-19 22:03:41

142

Views

How do I manually compute the point doubling of the point (3, 6) on the curve $y^2 = x^3 + 2x + 3$?

Published on 19 Mar 2026 - 22:03

List Question

Optimal normal basis in Tower field construction

Why is $p(\overline{x})=\overline{p(x)}$?

When a product of two primitive elements is also primitive?

Infinite Cyclotomic Extension of $\mathbb{Q}$

For Field extension, $[E :F]=1$ implies $E=F$

If $\alpha$ separable over $F$ then $F(\alpha )/F$ is a separable extension.

Is linear disjunction a polynomial condition?

How to write cyclotomic field extensions $\mathbb{Q}(\zeta_n)$ in terms of roots and $i$?

$f\in K[X]$ irreducible odd degree, $\alpha, \beta\in\bar K$ distinct roots of $f$ $\Rightarrow$ neither $\alpha+\beta\in K$ nor $\alpha\beta\in K$

Is my proof that finite fields have order $p^n$ valid?

Computing dimension of the splitting field.

Finding an automorphism of $\mathbb{C}(x,y)$ that fixes two given elements

Minimal polynomial are same for $\lambda$ and $\lambda ^2$

splitting field for a finite dimensional central simple F-algebra$A$

How do I manually compute the point doubling of the point (3, 6) on the curve $y^2 = x^3 + 2x + 3$?

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