List questions from splitting-field

Published on 26 Apr 2016 - 6:45

561

Views

Find the degree of the splitting field of a polynomial over $Q$

Published on 27 Apr 2016 - 14:32

205

Views

Show that the extension $F \vert \mathbb{Q}$ is Galois

Published on 28 Apr 2016 - 17:16

92

Views

Is $\mathbb{Q}(z,\dots,z^{n-1})$ the splitting field of some polynomial $\mathbb{Q}[x]$, where $z$ is a primitive root of unity?

Published on 30 Apr 2016 - 21:18

1.2k

Views

Computing the degree of the splitting field of $x^3+18x+3$ over $\Bbb Q$

Published on 01 May 2016 - 12:59

2k

Views

Expressing the roots of a cubic as polynomials in one root

Published on 01 May 2016 - 20:22

49

Views

Root in a splitting field

Published on 03 May 2016 - 19:18

433

Views

Splitting field of a set of polynomials

Published on 03 May 2016 - 21:41

1k

Views

When does a splitting field of a polynomial have the same degree as the polynomial?

Published on 04 May 2016 - 20:25

335

Views

Linear independence of roots

Published on 07 May 2016 - 22:33

63

Views

If $f(a)=f(a+1)$, then $F$ has characteristic $0$.

Published on 13 May 2016 - 7:22

202

Views

Minimal polynomial of a primitive element for Galois extensions with Galois group $S_n$

Published on 14 May 2016 - 21:17

1.6k

Views

Subfield of $\mathbb{Q}(\sqrt[n]{a})$

Published on 15 May 2016 - 6:24

20

Views

On the question of the Galois group of some polynomial.

Published on 16 May 2016 - 11:24

77

Views

polynomial in fixed field

Published on 17 May 2016 - 16:39

List Question

Galois group of a quartic which is also a quadratic in $x^2$

Find the degree of the splitting field of a polynomial over $Q$

Show that the extension $F \vert \mathbb{Q}$ is Galois

Is $\mathbb{Q}(z,\dots,z^{n-1})$ the splitting field of some polynomial $\mathbb{Q}[x]$, where $z$ is a primitive root of unity?

Computing the degree of the splitting field of $x^3+18x+3$ over $\Bbb Q$

Expressing the roots of a cubic as polynomials in one root

Root in a splitting field

Splitting field of a set of polynomials

When does a splitting field of a polynomial have the same degree as the polynomial?

Linear independence of roots

If $f(a)=f(a+1)$, then $F$ has characteristic $0$.

Minimal polynomial of a primitive element for Galois extensions with Galois group $S_n$

Subfield of $\mathbb{Q}(\sqrt[n]{a})$

On the question of the Galois group of some polynomial.

polynomial in fixed field

Trending Questions

Popular # Hahtags

Popular Questions