caa a22 4500 475742044 CHVBK 20180406123502.0 cr unu---uuuuu 170329e20000501xx s 000 0 eng 10.1007/BF02676328 doi (NATIONALLICENCE)springer-10.1007/BF02676328 The group of asynchronous automata and rational homeomorphisms of the cantor set [Elektronische Daten] [R. Grigorchuk, V. Nekrashevich] 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. Kluwer Academic/Plenum Publishers, 2000 asynchronous automata nationallicence automaton groups nationallicence automaton semigroups nationallicence finitely approximable groups nationallicence Burnside problem nationallicence homeomorphisms of Cantor set nationallicence Grigorchuk R. V. A. Stekolv Mathematics Institute, Russian Academy of Science, USSR aut Nekrashevich V. V. A. Stekolv Mathematics Institute, Russian Academy of Science, USSR aut Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 67/5(2000-05-01), 577-581 0001-4346 67:5<577 2000 67 11006 https://doi.org/10.1007/BF02676328 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02676328 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Grigorchuk R. V. A. Stekolv Mathematics Institute, Russian Academy of Science, USSR aut NATIONALLICENCE 700 1- Nekrashevich V. V. A. Stekolv Mathematics Institute, Russian Academy of Science, USSR aut NATIONALLICENCE 773 0- Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 67/5(2000-05-01), 577-581 0001-4346 67:5<577 2000 67 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer