F. Szechtman

collaborators

5 papers

math.NT2025

Artin-Schreier towers of finite fields

Leandro Cagliero, Allen Herman, Fernando Szechtman

Given a prime number $p$ , we consider the tower of finite fields $F_{p} = L_{- 1} \subset L_{0} \subset L_{1} \subset \dots$ , where each step corresponds to an Artin-Schreier extension of degr…

math.NT2024

Sums of binomial coefficients modulo $p$ and groups of exponent $p^{n}$

Fernando Szechtman

We give a simple matrix-based proof of congruence equations modulo a prime $p$ involving sums of binomial coefficients appearing in Pascal's triangle. These equations can be used t…

math.GR2024

Isomorphism of relative holomorphs and matrix similarity

Volker Gebhardt, Alberto J. Hernandez Alvarado, Fernando Szechtman

Let $V$ be a finite-dimensional vector space over the field with $p$ elements, where $p$ is a prime number. Given arbitrary $I^\pm, I^^{2} \in GL (V)$ , we consider the semidirect pr…

math.GR2024

The automorphism group of finite $p$ -groups associated to the Macdonald group

Alexander Montoya Ocampo, Fernando Szechtman

Given positive integers $p$ and $m$ , where $p$ is assumed to be an odd prime, we determine the automorphism groups of $p$ -groups $J$ , $H$ , and $K$ of orders $p^{7 m}$ , $p^{6 m}$ , and…

math.GR2024

The automorphism tower of the Mennicke group $M (- 1, - 1, - 1)$

Fernando Szechtman

We compute the automorphism tower of the centerless Mennicke group $M (- 1, - 1, - 1)$

Artin-Schreier towers of finite fields

Sums of binomial coefficients modulo p and groups of exponent pn

Isomorphism of relative holomorphs and matrix similarity

The automorphism group of finite p-groups associated to the Macdonald group

The automorphism tower of the Mennicke group M(−1,−1,−1)

Sums of binomial coefficients modulo $p$ and groups of exponent $p^{n}$

The automorphism group of finite $p$ -groups associated to the Macdonald group

The automorphism tower of the Mennicke group $M (- 1, - 1, - 1)$