2 papers
math.GR2026
On fixed points and equalizers of injective endomorphisms of the free group at infinity
André Carvalho, Pedro V. Silva
We study equalizers and fixed points of monomorphisms of free groups at infinity. We show that the action of the equalizer of two monomorphisms on the regular points of the equaliz…
math.GR2024
Geodesic languages for rational subsets and conjugates in virtually free groups
André Carvalho, Pedro V. Silva
We prove that a subset of a virtually free group is rational if and only if the language of geodesic words representing its elements (in any generating set) is rational and that th…