List questions from finite-fields

Published on 20 Oct 2014 - 7:48

212

Views

Number of orbits of the Frobenius automorphism

Published on 20 Oct 2014 - 9:20

16

Views

Characterise all subgroups of $\operatorname{SL}_2(\mathbb F_{p^n})$

Published on 11 Mar 2026 - 1:37

46

Views

Elements of $\operatorname{SL}_2(\mathbb F_{p^n})$ of order $p^k$

Published on 20 Oct 2014 - 15:53

78

Views

Why does this criterion imply that $A$ is a subfield of $E$?

Published on 21 Oct 2014 - 6:48

79

Views

Regarding Linear Subspaces over a Finite Field... TFAE:

Published on 21 Oct 2014 - 9:16

361

Views

When Errors Go Undetected in CRC

Published on 27 Mar 2026 - 20:11

313

Views

Compute the degree of the splitting field

Published on 26 Mar 2026 - 6:28

1k

Views

an irreducible polynomial over GF(2) is primitive over GF(2)

Published on 28 Mar 2026 - 7:51

469

Views

Double finite field extension

Published on 23 Oct 2014 - 21:30

559

Views

Suppose $F$ is a finite field of characteristic $p$. Prove $\exists u \in F$ such that $F = \mathbb{F}_{p}(u)$.

Published on 23 Oct 2014 - 23:02

1.3k

Views

Multiplication in the Galois field GF(3^3)

Published on 27 Mar 2026 - 10:34

156

Views

irreducible monic polynomials

Published on 28 Mar 2026 - 9:44

1.1k

Views

Proving two finite fields are isomorphic

Published on 28 Oct 2014 - 23:25

1.3k

Views

Find the number of primitive elements

Published on 27 Mar 2026 - 18:34

List Question

Subgroups of $\mathbb F_{p^n}$

Number of orbits of the Frobenius automorphism

Characterise all subgroups of $\operatorname{SL}_2(\mathbb F_{p^n})$

Elements of $\operatorname{SL}_2(\mathbb F_{p^n})$ of order $p^k$

Why does this criterion imply that $A$ is a subfield of $E$?

Regarding Linear Subspaces over a Finite Field... TFAE:

When Errors Go Undetected in CRC

Compute the degree of the splitting field

an irreducible polynomial over GF(2) is primitive over GF(2)

Double finite field extension

Suppose $F$ is a finite field of characteristic $p$. Prove $\exists u \in F$ such that $F = \mathbb{F}_{p}(u)$.

Multiplication in the Galois field GF(3^3)

irreducible monic polynomials

Proving two finite fields are isomorphic

Find the number of primitive elements

Trending Questions

Popular # Hahtags

Popular Questions