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

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

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  • 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 ...
  • 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 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 ...
  • 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 ...
  • 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.
  • 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 ...

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