Перегляд за автором "Nekrashevych, V."

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  • Hyperbolic spaces from self-similar group actions 
    Nekrashevych, V. (Algebra and Discrete Mathematics, 2003)
    We show that the limit space of a contracting selfsimilar group action is the boundary of a naturally defined Gromov hyperbolic space.
  • 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 ...
  • Post-critically finite self-similar groups 
    Bondarenko, E.; Nekrashevych, V. (Algebra and Discrete Mathematics, 2003)
    We describe in terms of automata theory the automatic actions with post-critically finite limit space. We prove that these actions are precisely the actions by bounded automata and that any self-similar action by bounded ...
  • Virtual endomorphisms of groups 
    Nekrashevych, V. (Algebra and Discrete Mathematics, 2002)
    Dedicated to V. V. Kirichenko on the occasion of his 60th birthday