Перегляд за автором "Kravchenko, R."

Сортувати за: Порядок: Результатів:

  • On classification of groups generated by 3-state automata over a 2-letter alphabet 
    Bondarenko, I.; Grigorchuk, R.; Kravchenko, R.; Muntyan, Y.; Nekrashevych, V.; Savchuk, D.; Sunic, Z. (Algebra and Discrete Mathematics, 2008)
    We show that the class of groups generated by 3-state automata over a 2-letter alphabet has no more than 122 members. For each group in the class we provide some basic information, such as short relators, a few initial ...
  • Schreier Graphs for a Self-Similar Action of the Heisenberg Group 
    Bondarenko, I.; Kravchenko, R. (Український математичний журнал, 2013)
    We construct a faithful self-similar action of the discrete Heisenberg group with the following properties: This action is self-replicating, finite-state, level-transitive, and noncontracting. Moreover, there exist orbital ...