Перегляд за автором "Oliynyk, A."

Сортувати за: Порядок: Результатів:

  • Conjugacy in finite state wreath powers of finite permutation groups 
    Oliynyk, A.; Russyev, A. (Algebra and Discrete Mathematics, 2019)
    It is proved that conjugated periodic elements of the infinite wreath power of a finite permutation group are conjugated in the finite state wreath power of this group. Counter-examples for non-periodic elements are given.
  • Finite automaton actions of free products of groups 
    Fedorova, M.; Oliynyk, A. (Algebra and Discrete Mathematics, 2017)
    It is shown that for groups G and H that act faithfully by finite state automorphisms on regular rooted trees their free product G∗H admits a faithful action by finite state automorphisms on some regular rooted tree.
  • Free semigroups in wreath powers of transformation semigroups 
    Oliynyk, A. (Algebra and Discrete Mathematics, 2010)
    It is established a criterion when the infinite wreath power of a finite transformation semigroup contains a free subsemigroup. It is shown that the infinite wreath power of a transformation semigroup either contains no ...
  • Groups of linear automata 
    Oliynyk, A. (Algebra and Discrete Mathematics, 2010)
    The scalar automata as a special class of groups of linear automata over modules are introduced. The groups of scalar automata are classified.