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Перегляд Algebra and Discrete Mathematics, 2015, Vol. 19, № 1 за назвою

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2015, Vol. 19, № 1 за назвою

Сортувати за: Порядок: Результатів:

  • Kaluzhnin's representations of Sylow p-subgroups of automorphism groups of p-adic rooted trees 
    Bier, A.; Sushchansky, V. (Algebra and Discrete Mathematics, 2015)
    The paper concerns the Sylow p-subgroups of automorphism groups of level homogeneous rooted trees. We recall and summarize the results obtained by L.Kaluzhnin on the structure of Sylow p-subgroups of isometry groups of ...
  • On a deformation diameter of Dynkin diagrams 
    Bondarenko, V.M.; Bondarenko, V.V.; Lisykevych, V.A.; Pereguda, Y.M. (Algebra and Discrete Mathematics, 2015)
    We introduce the notion of a deformation distance and calculate the diameter of Dynkin diagrams respect to this distance.
  • On Kaluzhnin-Krasner’s embedding of groups 
    Olshanskii, A.Yu. (Algebra and Discrete Mathematics, 2015)
    In this note, we consider a ’thrifty’ version of Kaluzhnin-Krasner’s embedding in wreath products and apply it to extensions by finite groups and to metabelian groups.
  • On representations of permutations groups as isometry groups of n-semimetric spaces 
    Gerdiy, O.; Oliynyk, B. (Algebra and Discrete Mathematics, 2015)
    We prove that every finite permutation group can be represented as the isometry group of some n-semimetric space. We show that if a finite permutation group can be realized as the isometry group of some n-semimetric ...
  • On stable finiteness of group rings 
    Dykema, K.; Juschenko, K. (Algebra and Discrete Mathematics, 2015)
    For an arbitrary field or division ring K and an arbitrary group G, stable finiteness of K[G] is equivalent to direct finiteness of K[G×H] for all finite groups H.
  • On subgroups of finite exponent in groups 
    Artemovych, O.D. (Algebra and Discrete Mathematics, 2015)
    We investigate properties of groups with subgroups of finite exponent and prove that a non-perfect group G of infinite exponent with all proper subgroups of finite exponent has the following properties: (1) G is an ...
  • On the flag geometry of simple group of Lie type and multivariate cryptography 
    Ustimenko, V. (Algebra and Discrete Mathematics, 2015)
    We propose some multivariate cryptosystems based on finite BN-pair G defined over the fields Fq. We convert the adjacency graph for maximal flags of the geometry of group G into a finite Tits automaton by special colouring ...
  • On the m-ary partition numbers 
    Kachi, Y.; Tzermias, P. (Algebra and Discrete Mathematics, 2015)
    We give explicit formulas and recurrences for the m-ary partition numbers and relate them to Toeplitz-Hessenberg determinants. Some of these results are direct analogues of similar statements for the classical (unrestricted) ...
  • On two windows multivariate cryptosystem depending on random parameters 
    Romańczuk-Polubiec, U.; Ustimenko, V. (Algebra and Discrete Mathematics, 2015)
    The concept of multivariate bijective map of an affine space Kn over commutative Ring K was already used in Cryptography. We consider the idea of nonbijective multivariate polynomial map Fn of Kn into Kn represented as ...
  • Symmetries of automata 
    Egri-Nagy, A.; Nehaniv, C.L. (Algebra and Discrete Mathematics, 2015)
    For a given reachable automaton A, we prove that the (state-) endomorphism monoid End(A) divides its characteristic monoid M(A). Hence so does its (state-)automorphism group Aut(A), and, for finite A, Aut(A) is a homomorphic ...
  • The International Algebraic Conference dedicated to the 100th anniversary of L.A. Kaluzhnin 
    Drozd, Yu.; Kirichenko, V.; Petravchuk, A.; Sushchansky, V.; Ustimenko, V. (Algebra and Discrete Mathematics, 2015)
    The International Algebraic Conference dedicated to the 100th anniversary of an outstanding mathematician and teacher, the founder of Algebra and Mathematical Logic Department of Taras Shevchenko National University of ...
  • Type of a point in Universal Geometry and in Model Theory 
    Plotkin, B.; Plotkin, E.; Zhitomirski, G. (Algebra and Discrete Mathematics, 2015)
    The paper is devoted to relations between model theoretic types and logically geometric types. We show that the notion of isotypic algebras can be equally defined through MT-types and LG-types.
  • Uncountably many 2-generated just-infinite branch pro-2 groups 
    Benli, M.G.; Grigorchuk, R. (Algebra and Discrete Mathematics, 2015)
    The aim of this note is to prove that there are 2ℵ0 non-isomorphic 2 generated just-infinite branch pro-2 groups.

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