List questions from finite-fields

Published on 01 Mar 2015 - 0:47

143

Views

Is there any isomorphism between the quotient ring $F{_p}$ /$\left\langle {{x^n} - a}\right\rangle$ and the group algebra $F{_p}G$

Published on 25 Mar 2026 - 17:42

192

Views

Can we give efficiently the solution of a system of bilinear equations over a finite field?

Published on 26 Mar 2026 - 21:10

112

Views

Find the number of disjoint cycles of the map $\phi_q: \Bbb{F}_{q^p}\to \Bbb{F}_{q^p}$

Published on 02 Mar 2015 - 14:42

198

Views

Algebra Splitting fields

Published on 03 Mar 2015 - 3:28

38

Views

False proof that $F_{3^2}$ contains $F_{3^4}$

Published on 03 Mar 2015 - 13:30

600

Views

Finding primes such that a given polynomial is irreducible modulo $p$

Published on 04 Apr 2026 - 10:13

466

Views

Prove that if $I-A$ is invertible then $I-A^p$ is invertible in $\mathrm{Mat}_n(\mathbb{Z}_p)$.

Published on 03 Mar 2015 - 23:35

31

Views

Squaring Polynomial over $\Bbb F_2[X]$ Is Equivalent to Squaring Argument

Published on 04 Mar 2015 - 17:40

355

Views

Square roots of $\Bbb F_p$

Published on 04 Mar 2015 - 18:01

98

Views

Polynomial Evaluation

Published on 30 Mar 2026 - 2:03

1.5k

Views

Matrices over a finite field with given Jordan normal form over the algebraic closure

Published on 31 Mar 2026 - 5:03

117

Views

Primes $p$ such that $ord_p(3)$ is a power of $2$

Published on 06 Mar 2015 - 17:15

430

Views

Artin-Chevalley Theorem.

Published on 06 Mar 2015 - 18:17

69

Views

Finite matrix power over $\Bbb F_q$

Published on 08 Mar 2015 - 21:32

List Question

Existence of Field with $p^n$ Elements.

Is there any isomorphism between the quotient ring $F{_p}$ /$\left\langle {{x^n} - a}\right\rangle$ and the group algebra $F{_p}G$

Can we give efficiently the solution of a system of bilinear equations over a finite field?

Find the number of disjoint cycles of the map $\phi_q: \Bbb{F}_{q^p}\to \Bbb{F}_{q^p}$

Algebra Splitting fields

False proof that $F_{3^2}$ contains $F_{3^4}$

Finding primes such that a given polynomial is irreducible modulo $p$

Prove that if $I-A$ is invertible then $I-A^p$ is invertible in $\mathrm{Mat}_n(\mathbb{Z}_p)$.

Squaring Polynomial over $\Bbb F_2[X]$ Is Equivalent to Squaring Argument

Square roots of $\Bbb F_p$

Polynomial Evaluation

Matrices over a finite field with given Jordan normal form over the algebraic closure

Primes $p$ such that $ord_p(3)$ is a power of $2$

Artin-Chevalley Theorem.

Finite matrix power over $\Bbb F_q$

Trending Questions

Popular # Hahtags

Popular Questions