Question

What would the field corresponding to a Galois group of $S_5$ look like?

score 107 · Answer 1 · 2022-03-12 06:10:32

107

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What would the field corresponding to a Galois group of $S_5$ look like?

Published on 12 Mar 2022 - 6:10

score 473 · Answer 2 · 2022-04-30 08:27:08

473

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Can a quintic equation be solved without needing a "piece of paper the size of a large asteroid"(!)?

Published on 30 Apr 2022 - 8:27

score 63 · Answer 3 · 2022-05-06 20:57:47

63

Views

Is there a systematic method to decompose this?

Published on 06 May 2022 - 20:57

score 309 · Answer 4 · 2022-05-12 14:07:26

309

Views

Finding the number of roots of $f(z) = z^5 + z^3 + 3z + 1$ in the unit disk

Published on 12 May 2022 - 14:07

score 187 · Answer 5 · 2022-05-15 19:22:38

187

Views

Can roots of quintic polynomials be a solution of radicals?

Published on 15 May 2022 - 19:22

score 142 · Answer 6 · 2022-05-24 16:34:16

142

Views

Can a general quintic be solved using Inverse Beta Regularized function?

Published on 24 May 2022 - 16:34

score 504 · Answer 7 · 2022-06-09 07:54:15

504

Views

Radical representation of $\cos\frac {2\pi}{11}$

Published on 09 Jun 2022 - 7:54

score 127 · Answer 8 · 2022-06-19 04:24:11

127

Views

Factoring the quintic $n^5-16n^4+95n^3-260n^2+324n-144$

Published on 19 Jun 2022 - 4:24

score 98 · Answer 9 · 2022-11-15 18:04:17

98

Views

How to deduce Abel's theorem from Kronecker's theorem

Published on 15 Nov 2022 - 18:04

score 478 · Answer 10 · 2022-11-16 14:59:29

478

Views

Precise examples for the solvable quintic with the "most complexity" of roots

Published on 16 Nov 2022 - 14:59

score 74 · Answer 11 · 2022-11-21 20:40:07

74

Views

Show that all solutions of $z^5 - z + 16 = 0$ satisfy $1 \lt |z| \lt 2$

Published on 21 Nov 2022 - 20:40

score 122 · Answer 12 · 2022-12-18 11:05:21

122

Views

Can all the roots of $ax^5+bx^2+c=0$, with real coefficients and $a,c\neq0$, be real numbers?

Published on 18 Dec 2022 - 11:05

score 57 · Answer 13 · 2022-12-19 23:40:03

57

Views

quintic solution to noncommutative polynomial

Published on 19 Dec 2022 - 23:40

score 47 · Answer 14 · 2022-12-22 17:54:01

47

Views

Find the minimum value of $\frac {2n^5+n\sqrt [5]{2}+1}{n^2}$ where $n\in\Bbb R^{+}$

Published on 22 Dec 2022 - 17:54

List Question

What would the field corresponding to a Galois group of $S_5$ look like?

Can a quintic equation be solved without needing a "piece of paper the size of a large asteroid"(!)?

Is there a systematic method to decompose this?

Finding the number of roots of $f(z) = z^5 + z^3 + 3z + 1$ in the unit disk

Can roots of quintic polynomials be a solution of radicals?

Can a general quintic be solved using Inverse Beta Regularized function?

Radical representation of $\cos\frac {2\pi}{11}$

Factoring the quintic $n^5-16n^4+95n^3-260n^2+324n-144$

How to deduce Abel's theorem from Kronecker's theorem

Precise examples for the solvable quintic with the "most complexity" of roots

Show that all solutions of $z^5 - z + 16 = 0$ satisfy $1 \lt |z| \lt 2$

Can all the roots of $ax^5+bx^2+c=0$, with real coefficients and $a,c\neq0$, be real numbers?

quintic solution to noncommutative polynomial

Find the minimum value of $\frac {2n^5+n\sqrt [5]{2}+1}{n^2}$ where $n\in\Bbb R^{+}$

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