List questions from finite-fields

Published on 17 Apr 2026 - 5:55

160

Views

Find the product of all quadratic irreducible polynomials of $\mathbf{Z}_{3}[x]$?

Published on 16 Apr 2026 - 19:04

245

Views

Extensions over finite fields

Published on 10 Apr 2026 - 6:54

48.8k

Views

Finding inverse of polynomial in a field

Published on 14 Apr 2026 - 9:34

1.2k

Views

Is there a geometric interpretation of $F_p,\ F_{p^n}$ and $\overline{F_p}?$

Published on 24 Apr 2026 - 14:43

3.5k

Views

Traceless matrices and commutators

Published on 14 Apr 2026 - 8:56

1.1k

Views

Need help understanding finite fields / modulo for polynomials

Published on 11 Apr 2026 - 10:13

2.8k

Views

Lack of understanding of the proof of the existence of an irreducible polynomial of any degree $n \geq 2$ in $\mathbb{Z}_p[x]$

Published on 14 Apr 2026 - 20:27

168

Views

Notation: graphs representing relations between fields

Published on 15 Apr 2026 - 19:32

299

Views

Why $x^4+x^3+x^2+x+1$ has root order 1 or 5 in $GF(2)$?

Published on 18 Apr 2026 - 14:11

5.3k

Views

Determining the characteristic of a field

Published on 12 Apr 2026 - 5:06

3.9k

Views

Factorize polynomial over $GF(3)$

Published on 14 Apr 2026 - 21:27

2.6k

Views

Field Extension of $F_p(X^p,Y^p)$

Published on 16 Apr 2026 - 9:51

220

Views

Discrete log of consecutive numbers

Published on 11 Apr 2026 - 18:44

1.7k

Views

how do I prove that in a finite field, the ($p$th) power of a sum is the sum of the powers?

Published on 12 Apr 2026 - 17:14

List Question

Why $x^{p^n}-x+1$ is irreducible in ${\mathbb{F}_p}$ only when $n=1$ or $n=p=2$

Find the product of all quadratic irreducible polynomials of $\mathbf{Z}_{3}[x]$?

Extensions over finite fields

Finding inverse of polynomial in a field

Is there a geometric interpretation of $F_p,\ F_{p^n}$ and $\overline{F_p}?$

Traceless matrices and commutators

Need help understanding finite fields / modulo for polynomials

Lack of understanding of the proof of the existence of an irreducible polynomial of any degree $n \geq 2$ in $\mathbb{Z}_p[x]$

Notation: graphs representing relations between fields

Why $x^4+x^3+x^2+x+1$ has root order 1 or 5 in $GF(2)$?

Determining the characteristic of a field

Factorize polynomial over $GF(3)$

Field Extension of $F_p(X^p,Y^p)$

Discrete log of consecutive numbers

how do I prove that in a finite field, the ($p$th) power of a sum is the sum of the powers?

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