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Browsing Algebra and Discrete Mathematics. - № 2 (23). - 2017 by Issue Date

Browsing Algebra and Discrete Mathematics. - № 2 (23). - 2017 by Issue Date

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  • On new multivariate cryptosystems with nonlinearity gap 
    Ustimenko, V. (2017)
    The pair of families of bijective multivariate maps of kind Fn and Fn −1 on affine space Kn over finite commutative ring K given in their standard forms has a nonlinearity gap if the degree of Fn is bounded from above ...
  • On groups with biprimary subgroups of even order 
    Sokhor, I. (2017)
    We investigate groups in which maximal sub- groups of even order are primary or biprimary. We also research soluble groups with restriction on a number of prime devisors of some proper subgroup orders. We give ...
  • The R∞ property for Houghton’s groups 
    Jo, J. H.; Lee, J. B.; Lee, S. R. (2017)
    We study twisted conjugacy classes of a family of groups which are called Houghton’s groups Hn (n ∈ N), the group of translations of n rays of discrete points at infinity. We prove that the Houghton’s groups Hn have the ...
  • Generators and ranks in finite partial transformation semigroups 
    Garba, G.U.; Imam, A.T. (2017)
    We extend the concept of path-cycles, defined in [2], to the semigroup Pn, of all partial maps on Xn = {1, 2, . . . , n}, and show that the classical decomposition of permutations into disjoint cycles can be extended ...
  • Finite groups admitting a dihedral group of automorphisms 
    Erca, G.; Güloğlu, İ.Ş. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    Let D = hα, βi be a dihedral group generated by the involutions α and β and let F = hαβi. Suppose that D acts on a finite group G by automorphisms in such a way that CG(F) = 1. In the present paper we prove that the ...
  • A survey article on some subgroup embeddings and local properties for soluble PST-groups 
    Beidleman, J. C. (2017)
    Let G be a group and p a prime number. G is said to be a Yp-group if whenever K is a p-subgroup of G then every subgroup of K is an S-permutable subgroup in NG(K). The group G is a soluble PST-group if and only if G is ...
  • On unicyclic graphs of metric dimension 2 
    Dudenko, M.; Oliynyk, B. (2017)
    A metric basis S of a graph G is the subset of vertices of minimum cardinality such that all other vertices are uniquely determined by their distances to the vertices in S. The metric dimension of a graph G is the ...
  • Finite automaton actions of free products of groups 
    Fedorova, M.; Oliynyk, A. (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.
  • Algebras and logics of partial quasiary predicates 
    Nikitchenko, M.; Shkilniak, S. (2017)
    In the paper we investigate algebras and logics defined for classes of partial quasiary predicates. Informally speaking, such predicates are partial predicates defined over partial states (partial assignments) of ...
  • Profinite closures of the iterated monodromy groups associated with quadratic polynomials 
    Samoilovych, I. (2017)
    In this paper we describe the profinite closure of the iterated monodromy groups arising from the arbitrary post- critically finite quadratic polynomial.
  • A note on Hall S-permutably embedded subgroups of finite groups 
    Sinitsa, D.A. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    Let G be a finite group. Recall that a subgroup A of G is said to permute with a subgroup B if AB = BA. A subgroup A of G is said to be S-quasinormal or S-permutable in G if A permutes with all Sylow subgroups of G. ...
  • On recurrence in G-spaces 
    Protasov, I.; Protasova, K. (2017)
    We introduce and analyze the following general concept of recurrence. Let G be a group and let X be a G-space with the action G × X −→ X, (g, x) 7−→ gx. For a family F of subset of X and A ∈ F, we denote ∆F(A) = {g ∈ G ...

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