05996405

j

05996405 Savchuk, Dmytro Vorobets, Yaroslav Automata generating free products of groups of order 2. J. Algebra 336, No. 1, 53-66 (2011). 2011 Elsevier Science (Academic Press), San Diego, CA EN groups generated by automata free products dual automata bireversible automata groups acting on trees

doi:10.1016/j.jalgebra.2011.02.049

Summary: We construct a family of automata with $n$ states, $n\geqslant 4$, acting on a rooted binary tree that generate the free products of cyclic groups of order 2.