5 papers
Profinite groups whose closed subgroups are subnormal of defect at most two
A. L. P. Porto, I. Lima, M. Silva
In this paper, we classify profinite groups whose closed subgroups are subnormal of defect at most two, providing profinite versions of theorems due to Heineken and to Mahdavianary…
On the Isotropy Groups of Locally Finite Derivations of Laurent Polynomial Algebras
Anderson Porto, Marcelo Veloso
Let be a Laurent polynomial algebra over a field of characteristic zero. We determine explicitly the automorphisms commu…
The profinite genus of the groups
Marlon Estanislau, John MacQuarrie, Anderson Porto
A formula is given for the profinite genus of groups of the form , completing the calculation of the size of the genus of semidirect products of the f…
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…
On the exponential Diophantine equation with 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 where is a prime number. We prove that such equat…