New posts in Finite Fields

Are all multivariate functions on finite fields equivalent to a unique polynomial of smallest degree?

Elliptic Curve Point Doubling

In a finite commutative ring , every prime ideal is maximal?

Reference request concerning splitting fields for groups that are related to special symmetric groups

Jordan normal form of sum of two commuting nilpotent matrices over a finite field (variant on a linear matrix pencil problem)

Does $\Phi_n(\alpha)=0$ in $\Bbb{F}_p$ for some $\alpha\in\mathbb{F}_p$ imply that $\mathrm{ord}_p(\alpha) = n$?

Polynomial with roots modulo all primes $p \equiv 3 \pmod 4$

Any element $g$ of $GL(2,p)$ of order $p$, $p$ prime, is conjugate to $\begin{bmatrix}1&1\\0&1\end{bmatrix}$

Singular Procedure: Vanishing polynomial function (A Singular Introduction to Commutative Algebra)

Finding a primitive element in a field with 27 elements.