http://dspace.nbuv.gov.ua:80/handle/123456789/150377 Fri, 17 Apr 2026 22:24:13 GMT 2026-04-17T22:24:13Z http://dspace.nbuv.gov.ua:80/bitstream/id/472556/ http://dspace.nbuv.gov.ua:80/handle/123456789/150377 http://dspace.nbuv.gov.ua:80/handle/123456789/158443 Rostislav I . Grigorchuk. To the 60th anniversary On February 23, 2013, an outstanding mathematician, one of the founders of our journal Professor Rostislav I. Grigorchuk turns his 60th. The influence of Grigorchuk's famous results on the development of various branches of mathematics is difficult to overestimate and his active involvement in the international mathematics community life is pretty significant. Tue, 01 Jan 2013 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/158443 2013-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/152265 Associative words in the symmetric group of degree three Plonka, E. Let G be a group. An element w(x, y) of the absolutely free group on free generators x, y is called an associative word in G if the equality w(w(g₁, g₂), g₃)=w(g₁, w(g₂, g₃)) holds for all g₁, g₂ ∈ G. In this paper we determine all associative words in the symmetric group on three letters. Tue, 01 Jan 2013 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/152265 2013-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/152264 On elementary domains of partial projective representations of groups Pinedo, H. We characterize the finite groups containing only elementary domains of factor sets of partial projective representations. A condition for a finite subset A of a group G, which contains the unity of the group, to induce an elementary partial representation, of G whose (idempotent) factor set is total is given. Finally, we characterize the elementary partial representation of abelian groups of degrees ≤ 4 with total factor set. Tue, 01 Jan 2013 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/152264 2013-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/152263 Infinitely iterated wreath products of metric spaces Oliynyk, B. The construction of the finitary wreath product of metric spaces and its completion, the infinitely iterated wreath product of metric spaces are introduced. They full isometry groups are described. Some properties and examples of these constructions are considered. Tue, 01 Jan 2013 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/152263 2013-01-01T00:00:00Z