List questions from finite-fields

Published on 04 Oct 2014 - 13:07

2.7k

Views

How to check field axioms given addition and multiplication tables

Published on 06 Oct 2014 - 22:58

189

Views

Implications of zero elementary symmetric polynomials over a finite field

Published on 26 Mar 2026 - 16:05

478

Views

Exhibiting an isomorphism between two finite fields

Published on 10 Oct 2014 - 5:33

321

Views

Has anyone defined a limit of a sequence of fields? In particular, what is the limit of finite fields?

Published on 10 Oct 2014 - 17:49

894

Views

Using Kronecker's theorem to construct a field with four elements

Published on 12 Oct 2014 - 14:44

75

Views

Calculating $3/10$ in $\mathbb{Z}_{13}$

Published on 12 Oct 2014 - 15:00

140

Views

Polynomials over $\mathbb{F}_2$ with certain values in $\mathbb{F}_4$

Published on 13 Oct 2014 - 7:46

2.9k

Views

How to prove a finite field is not ordered?

Published on 25 Mar 2026 - 13:45

410

Views

Question about the cycle type of the Frobenius Automorphism

Published on 16 Oct 2014 - 5:01

203

Views

Question about the Characteristic of $\mathbb{F}_{p^n}$

Published on 16 Oct 2014 - 5:54

172

Views

polynomial over finite field, roots forming additive subgroup

Published on 16 Oct 2014 - 12:47

65

Views

Solving system of equation over distinct finite fields

Published on 18 Oct 2014 - 19:51

60

Views

Order of an element

Published on 18 Oct 2014 - 21:36

138

Views

Calculating zeta functions over a field

Published on 25 Mar 2026 - 19:02

List Question

Homomorphisms between fields are injective.

How to check field axioms given addition and multiplication tables

Implications of zero elementary symmetric polynomials over a finite field

Exhibiting an isomorphism between two finite fields

Has anyone defined a limit of a sequence of fields? In particular, what is the limit of finite fields?

Using Kronecker's theorem to construct a field with four elements

Calculating $3/10$ in $\mathbb{Z}_{13}$

Polynomials over $\mathbb{F}_2$ with certain values in $\mathbb{F}_4$

How to prove a finite field is not ordered?

Question about the cycle type of the Frobenius Automorphism

Question about the Characteristic of $\mathbb{F}_{p^n}$

polynomial over finite field, roots forming additive subgroup

Solving system of equation over distinct finite fields

Order of an element

Calculating zeta functions over a field

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