F. Szechtman

activity

20022024

most citedClassification of finite dimensional uniserial representations of conformal Galilei algebras

4 citations · 19 across the 32 of their papers we have counts for

collaborators

52 papers

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 $α, β \in GL (V)$ , we consider the semidirect prod…

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 $M (- 1, - 1, - 1)$

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.NT2024

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.GR2023

On the isomorphism problem for certain $p$ -groups

Alexander Montoya Ocampo, Fernando Szechtman

We consider 9 infinite families of finite $p$ -groups, for $p$ a prime, and we settle the isomorphism problem that arises when the parameters that define these groups are modified.

math.GR2023★ 1 cited

The automorphism group of finite $2$ -groups associated to the Macdonald group

Alexander Montoya Ocampo, Fernando Szechtman

We consider the Macdonald group $⟨ x, y ∣ x^{[x, y]} = x^{1 + 2^{m} ℓ}, y^{[y, x]} = y^{1 + 2^{m} ℓ} ⟩$ and its Sylow 2-subgroup $J=\langle x,y\,|\, x^{[x,y]}=x^{1+2^m\ell},\,…

Isomorphism of relative holomorphs and matrix similarity

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

Sums of binomial coefficients modulo p and groups of exponent pn

Artin-Schreier towers of finite fields

On the isomorphism problem for certain p-groups

The automorphism group of finite 2-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 $p^{n}$

On the isomorphism problem for certain $p$ -groups

The automorphism group of finite $2$ -groups associated to the Macdonald group