Research

Main


Selected publications

  1. Lattice of normal subgroups of a group of local isometries of the boundary of a spherically homogeneous tree, Ukrainian Mathematical Journal, 60, (2008), No. 10, p. 1574-1580. (with Vitaly Sushchansky).
  2. Classification of the local isometry groups of rooted tree boundaries, Algebra and Discrete Mathematics, (2007), No. 2, p. 104-110.
  3. Faithful group actions on rooted trees induced by actions of quotients, Communications in Algebra, 35, (2007), No. 11, p. 3759 - 3775. (with Volodymyr Mazorchuk, Andriy Oliynyk, and Vitaly Sushchansky).
  4. On classification of inductive limits of direct products of alternating groups, Journal of the London Mathematical Society, 75, (2007), No. 1, p. 146-162. (with Volodymyr Nekrashevych).
  5. On automorphisms of local isometry group of compact ultrametric spaces, International Journal of Algebra and Computation, 15, (2005), No. 5-6, p. 1013-1024.
  6. On the finite state automorphism group of a rooted tree, Algebra and Discrete Mathematics, 1, (2002), No. 1, p. 79-89.
  7. Rigidity of branch groups acting on rooted trees, Geom. Dedicata, 89, (2002), 159-179. (with Volodymyr Nekrashevych).
  8. Automorphism group of normalizer of sylow p-subgroup of symmetric group of prime power, Dopov. Nats. Akad. Nauk Ukr., No. 7, (1999), 7-11. (with Yuriy Bodnarchuk).
  9. Automorphisms of wreath branch groups, Visnyk Kyivskogo Universytetu, No. 1, (1999), 50-57.
  10. On normal subgroups of Jonkier group, Matematychni Studii, 8, (1997), No. 2, p. 143--146.


Talks

  1. "On classification of locally finite simple groups", Algebraic seminar of Department of Mathematics, Univesity of Ljubljana, Slovenia, 2007.
  2. "Groups acting on the spaces of the Bratteli diagram paths", 6th International Algebraic Conference in Ukraine, Kamyanets-Podilsky, Ukraine, 2007.