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Перегляд Algebra and Discrete Mathematics, 2003, № 4 за назвою

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2003, № 4 за назвою

Сортувати за: Порядок: Результатів:

  • Automorphisms of homogeneous symmetric groups and hierarchomorphisms of rooted trees 
    Lavrenyuk, Y.V.; Sushchansky, V.I. (Algebra and Discrete Mathematics, 2003)
    A representation of homogeneous symmetric groups by hierarchomorphisms of spherically homogeneous rooted trees are considered. We show that every automorphism of a homogeneous symmetric (alternating) group is locally ...
  • Binary coronas of balleans 
    Protasov, I.V. (Algebra and Discrete Mathematics, 2003)
    A ballean B is a set X endowed with some family of subsets of X which are called the balls. We postulate the properties of the family of balls in such a way that a ballean can be considered as an asymptotic counterpart ...
  • Dynamics of finite groups acting on the boundary of homogenous rooted tree 
    Szaszkowski, Z. (Algebra and Discrete Mathematics, 2003)
    Criterion of embedding of finite groups into the automorphism groups of a homogenous rooted tree of a spherical index n is formulated. The sets of natural numbers which are the lengths of all orbits of finite groups ...
  • Dynamics of finite groups acting on the boundary of homogenous rooted tree 
    Szaszkowski, Z. (Algebra and Discrete Mathematics, 2003)
    Criterion of embedding of finite groups into the automorphism groups of a homogenous rooted tree of a spherical index n is formulated. The sets of natural numbers which are the lengths of all orbits of finite groups ...
  • On 2-state Mealy automata of polynomial growth 
    Reznykov, I.I. (Algebra and Discrete Mathematics, 2003)
    We consider the sequence of 2-state Mealy automata over the finite alphabets, that have polynomial growth orders and define the infinitely presented automatic transformation semigroups.
  • On faithful actions of groups and semigroups by orientation-preserving plane isometries 
    Vorobets, Y. (Algebra and Discrete Mathematics, 2003)
    Feitful representations of two generated free groups and free semigroups by orientation-preserving plane isometries constructed.
  • On subgroups of saturated or totally bounded paratopological groups 
    Banakh, T.; Ravsky, S. (Algebra and Discrete Mathematics, 2003)
    A paratopological group G is saturated if the inverse U ⁻¹ of each non-empty set U ⊂ G has non-empty interior. It is shown that a [first-countable] paratopological group H is a closed subgroup of a saturated (totally ...
  • Post-critically finite self-similar groups 
    Bondarenko, E.; Nekrashevych, V. (Algebra and Discrete Mathematics, 2003)
    We describe in terms of automata theory the automatic actions with post-critically finite limit space. We prove that these actions are precisely the actions by bounded automata and that any self-similar action by bounded ...
  • Structural properties of extremal asymmetric colorings 
    Verbitsky, O. (Algebra and Discrete Mathematics, 2003)
    Let Ω be a space with probability measure µ for which the notion of symmetry is defined. Given A ⊆ Ω, let ms(A) denote the supremum of µ(B) over symmetric B ⊆ A. An r-coloring of Ω is a measurable map χ : Ω → {1, . . . , ...

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