Question

Impossibility of constructing certain regular polygons with straight-edge and compass

score 1.8k · Answer 1 · 2026-03-25 20:35:34

1.8k

Views

Impossibility of constructing certain regular polygons with straight-edge and compass

Published on 25 Mar 2026 - 20:35

score 899 · Answer 2 · 2026-03-26 20:41:12

899

Views

Why is $(X^5-1)/(X-1)$ the minimal polynomial for $e^{2\pi i/5}$, the fifth root of unity, over $\Bbb Q$?

Published on 26 Mar 2026 - 20:41

score 145 · Answer 3 · 2019-04-03 02:01:25

145

Views

Problem 15 from Lang's Algebra

Published on 03 Apr 2019 - 2:01

score 90 · Answer 4 · 2026-03-31 11:04:39

90

Views

$[L:K]$ dividing $n!$ with $L=K(\alpha_1,...\alpha_n)$, and $L$ a splitting field of $f$ with $\alpha_1..\alpha_n$ zeros of $f$

Published on 31 Mar 2026 - 11:04

score 56 · Answer 5 · 2026-03-27 00:06:49

56

Views

Existence of irreducible polynomials with certain criteria

Published on 27 Mar 2026 - 0:06

score 290 · Answer 6 · 2026-03-31 11:11:09

290

Views

Intersection of Fields

Published on 31 Mar 2026 - 11:11

score 219 · Answer 7 · 2019-04-03 18:20:53

219

Views

How to determine the Galois group of $x^4-x^2-1$ over $\mathbb{Q}$

Published on 03 Apr 2019 - 18:20

score 218 · Answer 8 · 2019-04-03 18:33:48

218

Views

Prove that $\mathbb{Q}(\sqrt{-3})=\mathbb{Q}(\omega)$

Published on 03 Apr 2019 - 18:33

score 50 · Answer 9 · 2019-04-03 20:09:59

50

Views

Show $\text{Gal}(L/\mathbb{Q}(\omega))\cong C_3 \times C_3$ with $L$ splitting field of $X^6+3X^3+3$

Published on 03 Apr 2019 - 20:09

score 36 · Answer 10 · 2019-04-03 23:55:41

36

Views

Sum and product of the roots of $f(x)\in k[x]$ lie in k, where $k$ field and $f(x)$ monic non irreducible over $k.$

Published on 03 Apr 2019 - 23:55

score 396 · Answer 11 · 2019-04-04 00:42:24

396

Views

Is the Field Norm of a unit a unit?

Published on 04 Apr 2019 - 0:42

score 505 · Answer 12 · 2019-04-04 06:35:08

505

Views

Do most differential equations not have an analytic solution?

Published on 04 Apr 2019 - 6:35

score 55 · Answer 13 · 2019-04-04 11:01:36

55

Views

Ortbit of $\pi$ under the action of $\operatorname{Aut} \mathbb C $

Published on 04 Apr 2019 - 11:01

score 37 · Answer 14 · 2026-03-26 11:17:53

37

Views

If $K$ is a subfield of $\mathbb{C}$ then $K(\zeta)/K$ is Galois

Published on 26 Mar 2026 - 11:17

score 57 · Answer 15 · 2026-03-27 22:52:51

57

Views

Show that group $Gal(K/\mathbb{Q})$ acts on $C(K)$ where $C$ is a rational elliptic curve

Published on 27 Mar 2026 - 22:52

List Question

Impossibility of constructing certain regular polygons with straight-edge and compass

Why is $(X^5-1)/(X-1)$ the minimal polynomial for $e^{2\pi i/5}$, the fifth root of unity, over $\Bbb Q$?

Problem 15 from Lang's Algebra

$[L:K]$ dividing $n!$ with $L=K(\alpha_1,...\alpha_n)$, and $L$ a splitting field of $f$ with $\alpha_1..\alpha_n$ zeros of $f$

Existence of irreducible polynomials with certain criteria

Intersection of Fields

How to determine the Galois group of $x^4-x^2-1$ over $\mathbb{Q}$

Prove that $\mathbb{Q}(\sqrt{-3})=\mathbb{Q}(\omega)$

Show $\text{Gal}(L/\mathbb{Q}(\omega))\cong C_3 \times C_3$ with $L$ splitting field of $X^6+3X^3+3$

Sum and product of the roots of $f(x)\in k[x]$ lie in k, where $k$ field and $f(x)$ monic non irreducible over $k.$

Is the Field Norm of a unit a unit?

Do most differential equations not have an analytic solution?

Ortbit of $\pi$ under the action of $\operatorname{Aut} \mathbb C $

If $K$ is a subfield of $\mathbb{C}$ then $K(\zeta)/K$ is Galois

Show that group $Gal(K/\mathbb{Q})$ acts on $C(K)$ where $C$ is a rational elliptic curve

Trending Questions

Popular # Hahtags

Popular Questions