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Перегляд Algebra and Discrete Mathematics, 2020, Vol. 29, № 1 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2020, Vol. 29, № 1 за датою випуску

Сортувати за: Порядок: Результатів:

  • On p-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups 
    Trofimuk, A. (Algebra and Discrete Mathematics, 2020)
    Let G be a finite group and P be a p-subgroup of G. If P is a Sylow subgroup of some normal subgroup of G, then we say that P is normally embedded in G. Groups with normally embedded maximal subgroups of Sylow p-subgroup, ...
  • Sets of prime power order generators of finite groups 
    Stocka, A. (Algebra and Discrete Mathematics, 2020)
    A subset X of prime power order elements of a finite group G is called pp-independent if there is no proper subset Y of X such that 〈Y,Ф(G)〉 = 〈X,Ф(G)〉, where Ф(G) is the Frattini subgroup of G. A group G has property Bpp ...
  • Linear groups saturated by subgroups of finite central dimension 
    Semko, N.N.; Skaskiv, L.V.; Yarovaya, O.A. (Algebra and Discrete Mathematics, 2020)
    Let F be a field, A be a vector space over F and G be a subgroup of GL(F,A). We say that G has a dense family of subgroups, having finite central dimension, if for every pair of subgroups H, K of G such that H ≤ K and H ...
  • On some non-periodic groups whose cyclic subgroups are GNA-subgroups 
    Pypka, A A. (Algebra and Discrete Mathematics, 2020)
    In this paper we obtain the description of nonperiodic locally generalized radical groups whose cyclic subgroups are GNA-subgroups.
  • Group of continuous transformations of real interval preserving tails of G₂-representation of numbers 
    Pratsiovytyi, M.V.; Lysenko, I.M.; Maslova, Yu.P. (Algebra and Discrete Mathematics, 2020)
    In the paper, we consider a two-symbol system of encoding for real numbers with two bases having different signs g₀ < 1 and g₁ = g₀ − 1. Transformations (bijections of the set to itself) of interval [0, g₀] preserving tails ...
  • Locally soluble groups with the restrictions on the generalized norms 
    Lukashova, T. (Algebra and Discrete Mathematics, 2020)
    The author studies groups with given restrictions on norms of decomposable and Abelian non-cyclic subgroups. The properties of non-periodic locally soluble groups, in which such norms are nonidentity and have the identity ...
  • On the non–periodic groups, whose subgroups of infinite special rank are transitively normal 
    Kurdachenko, L.A.; Subbotin, I.Ya.; Velychko, T.V. (Algebra and Discrete Mathematics, 2020)
    This paper devoted to the non-periodic locally generalized radical groups, whose subgroups of infinite special rank are transitively normal. We proved that if such a group G includes an ascendant locally nilpotent subgroup ...
  • Finite groups with semi-subnormal Schmidt subgroups 
    Kniahina, V.N.; Monakhov, V.S. (Algebra and Discrete Mathematics, 2020)
    A Schmidt group is a non-nilpotent group in which every proper subgroup is nilpotent. A subgroup A of a group G is semi-normal in G if there exists a subgroup B of G such that G = AB and AB1 is a proper subgroup of G for ...
  • Leibniz algebras with absolute maximal Lie subalgebras 
    Biyogmam, G.R.; Tcheka, C. (Algebra and Discrete Mathematics, 2020)
    A Lie subalgebra of a given Leibniz algebra is said to be an absolute maximal Lie subalgebra if it has codimension one. In this paper, we study some properties of non-Lie Leibniz algebras containing absolute maximal Lie ...
  • An OD-characterizable class of simple groups 
    Akbari, M.; Chen, X.Y.; Moghaddamfar, A.R. (Algebra and Discrete Mathematics, 2020)
    It is proved that nonabelian finite simple groups S with max π(S) = 37 are uniquely determined by their order and degree pattern in the class of all finite groups.
  • A new characterization of finite σ-soluble PσT-groups 
    Adarchenko, N.M. (Algebra and Discrete Mathematics, 2020)
    Let σ = {σi | i ∈ I} be a partition of the set of all primes ℙ and G a finite group. G is said to be σ-soluble if every chief factor H/K of G is a σᵢ-group for some i = i(H/K). A set H of subgroups of G is said to be a ...
  • On some topics in the theory of infinite dimensional linear groups 
    Dixon, M.R.; Kurdachenko, L.A.; Semko, N.N.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2020)
    In this paper we present a synopsis of some recent results concerned with infinite dimensional liner groups, including generalizations of irreducibility, the central dimension of a linear group, groups with finite dimensional ...
  • Leonid A. Kurdachenko (dedicated to 70th Birthday) 
    Автор відсутній (Algebra and Discrete Mathematics, 2020)
    Leonid A. Kurdachenko is definitely one of the most productive group theorists. His list of publications consists of more than 250 journal articles published in major mathematics journals in many countries including Ukraine, ...

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