4 papers
Generalized Bowen-Franks Groups and Profinite Conjugacy for Hyperbolic Toral Automorphisms
Lennard F Bakker, Pedro Martins Rodrigues
We show that a collection of generalized Bowen-Franks group, what we call the principal Bowen-Franks -modules, form a complete set of -module invariants for the equivalence r…
Local Conjugacy of Irreducible Hyperbolic Toral Automorphisms
Lennard F Bakker, Pedro Martins Rodrigues, Miguel M. R. Moreira
This paper is dedicated to the conjugacy problem in and its connection with algebraic number theory. This connection may be summed up in the Latimer-MacDuffee-Taussky Th…
A Profinite Group Invariant for Hyperbolic Toral Automorphisms
Lennard F. Bakker, Pedro Martins Rodrigues
For a hyperbolic toral automorphism, we construct a profinite completion of an isomorphic copy of the homoclinic group of its right action using isomorphic copies of the periodic d…
Bowen-Franks groups as conjugacy invariants for automorphisms
P. Martins Rodrigues, J. Sousa Ramos
The role of generalized Bowen-Franks groups (BF-groups) as topological conjugacy invariants for automorphisms is studied. Using algebraic number theory, a link is…