3 papers
math.GR2024
Free-abelian by free groups: homomorphisms and algorithmic explorations
André Carvalho, Jordi Delgado
We obtain an explicit description of the endomorphisms of free-abelian by free groups together with a characterization of when they are injective and surjective. As a consequence w…
math.GR2024
Orbit problems for free-abelian times free groups and related families
André Carvalho, Jordi Delgado
We prove that the Brinkmann Problems (BrP & BrCP) and the twisted-conjugacy Problem (TCP) are decidable for any endomorphism of a free-abelian times free (FATF) group Fn x Z^m. Fur…
math.GR2023
Decidability of the Brinkmann Problems for endomorphisms of the free group
André Carvalho, Jordi Delgado
We show that both the Brinkmann Problem (BrP) and the Brinkmann Conjugacy Problem (BrCP) are decidable for endomorphisms of the free group Fn.