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Перегляд Algebra and Discrete Mathematics, 2009, № 4 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2009, № 4 за датою випуску

Сортувати за: Порядок: Результатів:

  • Groups with many self-normalizing subgroups 
    M. De Falco; F. de Giovanni; Musella, C. (Algebra and Discrete Mathematics, 2009)
    This paper investigates the structure of groups in which all members of a given relevant set of subgroups are selfnormalizing. In particular, soluble groups in which every nonabelian (or every infinite non-abelian) subgroup ...
  • Groups with many generalized FC-subgroup 
    Russo, A.; Vincenzi, G. (Algebra and Discrete Mathematics, 2009)
    Let FC⁰ be the class of all finite groups, and for each non-negative integer n define by induction the group class FCⁿ⁺¹ consisting of all groups G such that the factor group G/CG(xG) has the property FCⁿ for all elements ...
  • The structure of infinite dimensional linear groups satisfying certain finiteness conditions 
    Jose M. Munoz-Escolano; Javier Otal; Semko, N.N. (Algebra and Discrete Mathematics, 2009)
    We review some recent results on the structure of infinite dimensional linear groups satisfying some finiteness conditions on certain families of subgroups. This direction of research is due to Leonid A. Kurdachenko, who ...
  • Groups with small cocentralizers 
    Javier Otal; Semko, N.N. (Algebra and Discrete Mathematics, 2009)
    Let G be a group. If S⊆G is a G-invariant subset of G, the factor-group G/CG(S) is called the cocentralizer of S in G. In this survey-paper we review some results dealing with the influence of several cocentralizers on the ...
  • On some aspects of the theory of modules over group rings 
    Kirichenko, V.V.; Dashkova, O.Yu. (Algebra and Discrete Mathematics, 2009)
    The authors discuss some recent developments in the theory of modules over group rings.
  • Groups with finiteness conditions on some subgroup systems: a contemporary stage 
    Dixon, M.R.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2009)
    This paper gives a brief historical survey of results in which certain systems of subgroups of a group satisfy various finiteness conditions.
  • Some properties of nilpotent groups 
    Gaglione, A.M.; Lipschutz, S.; Spellman, D. (Algebra and Discrete Mathematics, 2009)
    Property S, a finiteness property which can hold in infinite groups, was introduced by Stallings and others and shown to hold in free groups. In [2] it was shown to hold in nilpotent groups as a consequence of a technical ...
  • On subgroups which cover or avoid chief factors of a finite group 
    Ballester-Bolinches, A.; Ezquerro, L.M.; Skiba, A.N. (Algebra and Discrete Mathematics, 2009)
    A classical topic of research in Finite Group Theory is the following: What is the influence on the structure of the group of the fact that all members of some relevant family of subgoups enjoy a given embedding ...
  • A characterization via graphs of the soluble groups in which permutability is transitive 
    Ballester-Bolinches, A.; Cossey, J.; Esteban-Romero, R. (Algebra and Discrete Mathematics, 2009)
    There are different ways to associate to a group a certain graph. In this context, it is interesting to ask for the relations between the structure of the group, given in group-theoretical terms, and the structure of the ...
  • A survey on pairwise mutually permutable products of finite groups 
    Ballester-Bolinches, A.; Beidleman, J.C.; Heineken, H.; Pedraza-Aguilera, M.C. (Algebra and Discrete Mathematics, 2009)
    In this paper we present some recent results about pairwise mutually permutable products and classes of groups related to the saturated formation of all supersoluble groups.
  • Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups 
    Slupik, A.J.; Sushchansky, V.I. (Algebra and Discrete Mathematics, 2009)
    Minimal generating sets of a Sylow p-subgroup Pn of the symmetric group Spn are characterized. The number of ordered minimal generating sets of Pn is calculated. The notion of the type of a generating set of Pn is introduced ...
  • On arrangement of subgroups in groups and related topics: some recent developments 
    Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2009)
    Investigation of groups satisfying certain conditions, related to the subgroup arrangement, enabled algebraists to introduce and describe many important classes of groups. The roots of such investigations lie in the works ...
  • On a question of Wiegold and torsion images of Coxeter groups 
    Grigorchuk, R. (Algebra and Discrete Mathematics, 2009)
    We answer positively a question raised byWiegold in Kourovka Notebook and show that every Coxeter group that is not virtually abelian and for which all labels in the corresponding Coxeter graph are powers of 2 or infinity ...

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