Question

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

score 108 · Answer 1 · 2026-02-23 13:46:14

108

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

Published on 23 Feb 2026 - 13:46

score 474 · Answer 2 · 2026-02-23 13:46:23

474

Views

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

Published on 23 Feb 2026 - 13:46

score 64 · Answer 3 · 2026-02-23 13:40:37

64

Views

Is there a systematic method to decompose this?

Published on 23 Feb 2026 - 13:40

score 310 · Answer 4 · 2026-02-23 13:46:56

310

Views

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

Published on 23 Feb 2026 - 13:46

score 188 · Answer 5 · 2026-02-23 13:45:59

188

Views

Can roots of quintic polynomials be a solution of radicals?

Published on 23 Feb 2026 - 13:45

score 143 · Answer 6 · 2026-02-23 13:40:30

143

Views

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

Published on 23 Feb 2026 - 13:40

score 505 · Answer 7 · 2026-02-23 13:45:01

505

Views

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

Published on 23 Feb 2026 - 13:45

score 128 · Answer 8 · 2026-02-23 13:45:53

128

Views

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

Published on 23 Feb 2026 - 13:45

score 99 · Answer 9 · 2026-02-23 13:41:34

99

Views

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

Published on 23 Feb 2026 - 13:41

score 479 · Answer 10 · 2026-02-23 13:42:59

479

Views

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

Published on 23 Feb 2026 - 13:42

score 75 · Answer 11 · 2026-02-23 13:46:14

75

Views

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

Published on 23 Feb 2026 - 13:46

score 123 · Answer 12 · 2026-02-23 13:46:22

123

Views

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

Published on 23 Feb 2026 - 13:46

score 58 · Answer 13 · 2026-02-23 13:47:30

58

Views

quintic solution to noncommutative polynomial

Published on 23 Feb 2026 - 13:47

score 48 · Answer 14 · 2026-02-23 13:46:12

48

Views

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

Published on 23 Feb 2026 - 13:46

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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