List questions from finite-fields

Published on 28 Nov 2015 - 17:20

31

Views

Question about the nature of a Galois group over 2 successive field extensions

Published on 28 Nov 2015 - 23:54

68

Views

Show that $\mathbb F_q/\mathbb F_p$ is Galoisienne where $q=p^n$.

Published on 29 Nov 2015 - 22:46

2.2k

Views

Solving linear system over finite field

Published on 30 Nov 2015 - 19:22

130

Views

$SL_2(\mathbb{F})$, decomposing $\mathbb{C}\{X\}$ into irreducible $G$-representations and dimensions

Published on 01 Dec 2015 - 8:03

110

Views

What are the roots and conjugates of a minimum polynomial?

Published on 30 Mar 2026 - 23:12

2k

Views

Finite integral domain

Published on 23 Feb 2026 - 13:40

502

Views

solving quadratic equation in GF(2^m)

Published on 02 Dec 2015 - 13:32

25

Views

Factorisation of a polynomial in $\left(R\left[x\right],+,\cdot\right)$, $\left(Z\left[x\right],+,\cdot\right)$, ...

Published on 07 Apr 2026 - 16:16

262

Views

Sum of eight squares over a finite field.

Published on 01 Apr 2026 - 0:51

229

Views

If char(K) is prime and $x\longmapsto x^p$ is bijective, then $L/K$ is separable.

Published on 02 Dec 2015 - 18:46

118

Views

Is there something similar to $\mathbb{R}^2$ for elliptic curve point representation?

Published on 04 Apr 2026 - 15:33

1.2k

Views

Finite field isomorphic to $\mathbb F_{p^n}$.

Published on 28 Mar 2026 - 3:26

454

Views

Proof that the Galois Field of order 8 is a field.

Published on 03 Dec 2015 - 14:32

298

Views

Group action on Finite Field

Published on 04 Dec 2015 - 1:15

List Question

Equation $ux^2+vy^2=w$ has at least one solution in $\Bbb{Z}/p\Bbb{Z}.$

Question about the nature of a Galois group over 2 successive field extensions

Show that $\mathbb F_q/\mathbb F_p$ is Galoisienne where $q=p^n$.

Solving linear system over finite field

$SL_2(\mathbb{F})$, decomposing $\mathbb{C}\{X\}$ into irreducible $G$-representations and dimensions

What are the roots and conjugates of a minimum polynomial?

Finite integral domain

solving quadratic equation in GF(2^m)

Factorisation of a polynomial in $\left(R\left[x\right],+,\cdot\right)$, $\left(Z\left[x\right],+,\cdot\right)$, ...

Sum of eight squares over a finite field.

If char(K) is prime and $x\longmapsto x^p$ is bijective, then $L/K$ is separable.

Is there something similar to $\mathbb{R}^2$ for elliptic curve point representation?

Finite field isomorphic to $\mathbb F_{p^n}$.

Proof that the Galois Field of order 8 is a field.

Group action on Finite Field

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