Anderson Porto

collaborators

3 papers

math.GR2025

The profinite genus of the groups $Z^{n} ⋊ C_{p^{2}}$

Marlon Estanislau, John MacQuarrie, Anderson Porto

A formula is given for the profinite genus of groups of the form $Z^{n} ⋊ C_{p^{2}}$ , completing the calculation of the size of the genus of semidirect products of the f…

math.GR2023

On pro-p Cappitt groups with finite exponent

Anderson Porto, Igor Lima

A pro-p Cappitt group is a pro-p group G such that the subgroup topologically generated by all non-normal closed subgroups is a proper subgroup of G. In this paper we prove that no…

math.NT2023

On the exponential Diophantine equation $p \cdot 3^{x} + p^{y} = z^{2}$ with $p$ a prime number

A. L. P. Porto, M. Buosi, G. S. Ferreira

In this paper we find non-negative integer solutions for exponential Diophantine equations of the type $p \cdot 3^{x} + p^{y} = z^{2},$ where $p$ is a prime number. We prove that such equat…

The profinite genus of the groups Zn⋊Cp2​

On pro-p Cappitt groups with finite exponent

On the exponential Diophantine equation p⋅3x+py=z2 with p a prime number

The profinite genus of the groups $Z^{n} ⋊ C_{p^{2}}$

On the exponential Diophantine equation $p \cdot 3^{x} + p^{y} = z^{2}$ with $p$ a prime number