F. Szechtman

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

math.GR2024

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.GR2024

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 group of finite p-groups associated to the Macdonald group

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

On the isomorphism problem for certain p-groups

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

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

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

On the isomorphism problem for certain $p$ -groups

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