Finite state wreath powers of transformation semigroups AS Oliynyk Semigroup Forum 82 (3), 423-436, 2011 | 16 | 2011 |

Faithful group actions on rooted trees induced by actions of quotients Y Lavrenyuk, V Mazorchuk, A Oliynyk, V Sushchansky Communications in AlgebraŽ 35 (11), 3759-3775, 2007 | 9 | 2007 |

Free products of finite groups acting on regular rooted trees CK Gupta, ND Gupta, AS Oliynyk Algebra and Discrete Mathematics 6 (2), 2018 | 8* | 2018 |

Amalgamated free product in terms of automata constructions AS Oliynyk, VA Prokhorchuk Communications in Algebra 50 (2), 740-750, 2022 | 5 | 2022 |

Efficient oblivious transfer protocols based on white-box cryptography A Jivanyan, G Khachatryan, A Oliynyk, M Raievskyi Cryptology ePrint Archive, 2016 | 5 | 2016 |

Semitransitive subsemigroups of the symmetric inverse semigroups K Cvetko-Vah, D Kokol Bukovšek, T Košir, G Kudryavtseva, Y Lavrenyuk, ... Semigroup Forum 78 (1), 138-147, 2009 | 4 | 2009 |

Semitransitive and transitive subsemigroups of the inverse symmetric semigroups K Cvetko-Vah, DK Bukovšek, T Košir, G Kudryavtseva, Y Lavrenyuk, ... arXiv preprint arXiv:0709.0743, 2007 | 4* | 2007 |

On braid groups acting on rooted trees and related constructions Y Lavrenyuk, V Mazorchuk, A Oliynyk, V Sushchansky Department of Mathematics, Uppsala University, 2005 | 4 | 2005 |

Finite automaton actions of free products of groups M Fedorova, A Oliynyk Algebra and discrete mathematics, 230-236, 2017 | 3 | 2017 |

The Groups of *Zc*-Automaton TransformationsAS Oliynyk, VI Sushchanskiĭ Siberian mathematical journal 51 (5), 879-891, 2010 | 2 | 2010 |

Conjugacy in finite state wreath powers of finite permutation groups A Oliynyk, A Russyev | | 2019 |

Free semigroups in wreath powers of transformation semigroups A Oliynyk Algebra and Discrete Mathematics 10 (2), 2018 | | 2018 |

Finite automaton actions of free products of groups A Oliynyk, M Fedorova | | 2017 |

Groups of linear automata A Oliynyk Algebra and Discrete Mathematics 10 (1), 97-103, 2010 | | 2010 |

On braid groups acting on rooted trees and related constructions V Mazorchuk, Y Lavrenyuk, A Oliynyk, V Sushchansky | | 2005 |

AMALGAMATED PRODUCTS OF INFINITE CYCLIC GROUPS, GENERATED BY FINITE AUTOMATA AS Oliynyk | | |