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Перегляд Algebra and Discrete Mathematics, 2017, Vol. 23, № 2 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2017, Vol. 23, № 2 за датою випуску

Сортувати за: Порядок: Результатів:

  • On new multivariate cryptosystems with nonlinearity gap 
    Ustimenko, V. (Algebra and Discrete Mathematics, 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 by ...
  • Profinite closures of the iterated monodromy groups associated with quadratic polynomials 
    Samoilovych, I. (Algebra and Discrete Mathematics, 2017)
    In this paper we describe the profinite closure of the iterated monodromy groups arising from the arbitrary post-critically finite quadratic polynomial.
  • Generators and ranks in finite partial transformation semigroups 
    Garba, G.U.; Imam, A.T. (Algebra and Discrete Mathematics, 2017)
    We extend the concept of path-cycle, 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 to elements of Pn by means of ...
  • Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups 
    Daugulis, P. (Algebra and Discrete Mathematics, 2017)
    Nonuniqueness of semidirect decompositions of groups is an insufficiently studied question in contrast to direct decompositions. We obtain some results about semidirect decompositions for semidirect products with factors ...
  • A note on Hall S-permutably embedded subgroups of finite groups 
    Sinitsa, D. (Algebra and Discrete Mathematics, 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 unicyclic graphs of metric dimension 2 
    Dudenko, M.; Oliynyk, B. (Algebra and Discrete Mathematics, 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 ...
  • On recurrence in G-spaces 
    Protasov, I.V.; Protasova, K.D. (Algebra and Discrete Mathematics, 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)⟼gx. For a family F of subset of X and A∈F, we denote ΔF(A)={g∈G:gB⊆A for some B∈F, ...
  • A survey article on some subgroup embeddings and local properties for soluble PST-groups 
    Beidleman, J.C. (Algebra and Discrete Mathematics, 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 a ...
  • Algebras and logics of partial quasiary predicates 
    Nikitchenko, M.; Shkilniak, S. (Algebra and Discrete Mathematics, 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 variables. ...
  • Finite automaton actions of free products of groups 
    Fedorova, M.; Oliynyk, A. (Algebra and Discrete Mathematics, 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.
  • Vitaliy Sushchansky (11.11.1946 – 29.10.2016) 
    Автор відсутній (Algebra and Discrete Mathematics, 2017)
    Vitaliy Ivanovych Sushchansky was born on November 11, 1946 in Khodorkiv in Zhytomyr region west of Kyiv. He died half a month before his seventieth birthday on October 29, 2016 in Gliwice, Poland. He was an outstanding ...
  • Finite groups admitting a dihedral group of automorphisms 
    Ercan, G.; Güloğlu, İ.Ş. (Algebra and Discrete Mathematics, 2017)
    Let D=⟨α,β⟩ be a dihedral group generated by the involutions α and β and let F=⟨αβ⟩. 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 nilpotent ...
  • The R∞ property for Houghton's groups 
    Jang Hyun Jo; Jong Bum Lee; Sang Rae Lee (Algebra and Discrete Mathematics, 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 R∞ ...
  • On groups with biprimary subgroups of even order 
    Sokhor, I. (Algebra and Discrete Mathematics, 2017)
    We investigate groups in which maximal subgroups 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 applications ...

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