Automaton groups and square complexes (Ievgen Bondarenko, University of Kyiv)
Any automaton-transducer with the same input and output alphabets gives rise to a square complex: one can take a unit square with labeled and oriented edges for each arrow in automaton and glue these squares to get a complex. In this talk, based on a joint work with Bohdan Kivva, I will discuss the connection between groups generated by automata, tiling properties of associated collection of squares, and residual properties of the fundamental groups of these square complexes.
Room 623, Séminaire "Groupes et Géométrie"
Organisé parSection de mathématiques
IntervenantsIevgen Bondarenko, University of Kyiv