New posts in finite-fields

Counting points on the Klein quartic

algebraic-geometry finite-fields modular-forms moduli-space quartics

Show that the cardinal of a finite field is a power of his characteristic [duplicate]

Over which fields (besides $\mathbb{R}$) is every symmetric matrix potentially diagonalizable?

linear-algebra abstract-algebra finite-fields diagonalization symmetric-matrices

Discrete logarithm - strange polynomials

polynomials finite-fields discrete-logarithms

Exhibiting an isomorphism between two finite fields

abstract-algebra finite-fields

How many irreducible monic quadratic polynomials are there in $\mathbb{F}_p[X]$?

abstract-algebra polynomials ring-theory finite-fields irreducible-polynomials

Can we find element of order $q^2-1$ in $\text{GL}_2(\mathbb{F}_q)$?

abstract-algebra group-theory finite-groups finite-fields general-linear-group

What is known about the numbers $M_p = \left\vert C(\mathbb{F}_p )\right\vert$?

number-theory finite-groups finite-fields elliptic-curves

Giving a 1-hour talk to highschool math club: any topic suggestion?

combinatorics discrete-mathematics graph-theory finite-fields recreational-mathematics

Compute Galois group of $\mathbb F_q/\mathbb F_p$

galois-theory finite-fields

When is a cyclotomic polynomial over a finite field a minimal polynomial? [duplicate]

abstract-algebra polynomials finite-fields irreducible-polynomials cyclotomic-polynomials

Finite fields and primitive elements

abstract-algebra finite-fields

Roots of unity over finite fields

finite-fields roots-of-unity multiplicative-order

Why can a matrix whose kth power is I be diagonalized?

linear-algebra abstract-algebra finite-fields

How to prove a finite field is not ordered?

field-theory finite-fields ordered-fields

Show that $\mathrm{SO}_3(\mathbb{Q}_p) \simeq \mathrm{SL}_2(\mathbb{Q}_p) $

lie-groups finite-fields rotations p-adic-number-theory

Proper divisor of order of $\mathbb{F}^*_q$ must divide element its in prime decomposition?

group-theory finite-fields

clarification on Taylor's Formula

linear-algebra finite-fields

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

soft-question field-theory intuition finite-fields

In a finite field, is there ever a homomorphism from the additive group to the multiplicative group?