Question

What theorem is being invoked in this solution to deciding if this polynomial is solvable by radicals?

score 63 · Answer 1 · 2019-07-14 05:55:04

63

Views

What theorem is being invoked in this solution to deciding if this polynomial is solvable by radicals?

Published on 14 Jul 2019 - 5:55

score 50 · Answer 2 · 2026-03-25 12:33:48

50

Views

A quicker way to decide if this extension is Galois.

Published on 25 Mar 2026 - 12:33

score 61 · Answer 3 · 2026-02-23 03:01:21

61

Views

Let $G$ be a finite group of automorphisms of $E$ and set $F=Fix(G)$, Then why is $E:F$ always separable?

Published on 23 Feb 2026 - 3:01

score 38 · Answer 4 · 2026-04-01 03:00:05

38

Views

Is my line of reasoning correct for considering this fixed field as a simple extension over $GF(7)$?

Published on 01 Apr 2026 - 3:00

score 119 · Answer 5 · 2026-03-29 14:02:09

119

Views

Proving that multiplicative groups of two fields F* are isomorphic

Published on 29 Mar 2026 - 14:02

score 97 · Answer 6 · 2026-04-03 05:46:57

97

Views

Finitely generated module over a field is always completely reducible

Published on 03 Apr 2026 - 5:46

score 50 · Answer 7 · 2019-07-16 03:50:17

50

Views

Extension Field Question

Published on 16 Jul 2019 - 3:50

score 71 · Answer 8 · 2026-04-03 10:20:37

71

Views

Do automorphisms preserve convergence of power series?

Published on 03 Apr 2026 - 10:20

score 274 · Answer 9 · 2026-03-27 11:44:00

274

Views

sub-resultant GCD algorithm for polynomials over a field

Published on 27 Mar 2026 - 11:44

score 63 · Answer 10 · 2019-07-18 04:02:26

63

Views

Finite extension of the inclusion $\mathbb F_p \to \Omega$ is injective?

Published on 18 Jul 2019 - 4:02

score 129 · Answer 11 · 2026-04-01 03:02:02

129

Views

Algebraic independence over subfields and algebraic closure?

Published on 01 Apr 2026 - 3:02

score 55 · Answer 12 · 2026-03-31 17:25:36

55

Views

Show that $\ I=(x^n) $ for some $n$, an element of $\Bbb N\cup\{0\}$.

Published on 31 Mar 2026 - 17:25

score 130 · Answer 13 · 2026-04-01 02:55:08

130

Views

Explicit group decomposition

Published on 01 Apr 2026 - 2:55

score 412 · Answer 14 · 2026-04-07 20:51:13

412

Views

Composition of fields and completion?

Published on 07 Apr 2026 - 20:51

score 1.3k · Answer 15 · 2026-03-26 02:53:55

1.3k

Views

Proof that every field is perfect?

Published on 26 Mar 2026 - 2:53

List Question

What theorem is being invoked in this solution to deciding if this polynomial is solvable by radicals?

A quicker way to decide if this extension is Galois.

Let $G$ be a finite group of automorphisms of $E$ and set $F=Fix(G)$, Then why is $E:F$ always separable?

Is my line of reasoning correct for considering this fixed field as a simple extension over $GF(7)$?

Proving that multiplicative groups of two fields F* are isomorphic

Finitely generated module over a field is always completely reducible

Extension Field Question

Do automorphisms preserve convergence of power series?

sub-resultant GCD algorithm for polynomials over a field

Finite extension of the inclusion $\mathbb F_p \to \Omega$ is injective?

Algebraic independence over subfields and algebraic closure?

Show that $\ I=(x^n) $ for some $n$, an element of $\Bbb N\cup\{0\}$.

Explicit group decomposition

Composition of fields and completion?

Proof that every field is perfect?

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