The group of asynchronous automata and rational homeomorphisms of the cantor set Academic Article uri icon


  • The asynchronous automaton group is defined; its fundamental properties are established. Embeddability of many familiar groups in this group is proved. The isomorphism type of this group is shown to be independent of the alphabet, which makes it possible to define the group of rational homeomorphisms of the Cantor set. Applications of the asynchronous automaton group to dynamical systems are given. 2000 Kluwer Academic/Plenum Publishers.

published proceedings

  • Mathematical Notes

author list (cited authors)

  • Grigorchuk, R. I., & Nekrashevich, V. V.

citation count

  • 3

complete list of authors

  • Grigorchuk, RI||Nekrashevich, VV

publication date

  • January 2000