- -

Browsing by Subject "Finite group"

RiuNet: Institutional repository of the Polithecnic University of Valencia

Browsing by Subject "Finite group"

Sort by: Order: Results:

  • thumb
    On Products of Generalised Supersoluble Finite Groups 
    Ballester-Bolinches, A.; Fakieh, W. M.; Pedraza Aguilera, María Carmen (Springer-Verlag, 2019-04)
    [EN] In this paper, mutually sn-permutable subgroups of groups belonging to a class of generalised supersoluble groups are studied. Some analogs of known theorems on mutually sn-permutable products are established.
  • thumb
    On second minimal subgroups of Sylow subgroups of finite groups 
    Ballester Bolinches, Adolfo; Esteban Romero, Ramón; Li, Yangming (Elsevier, 2011-09-15)
    A subgroup H of a finite group G is a partial CAP-subgroup of G if there is a chief series of G such that H either covers or avoids its chief factors. Partial cover and avoidance property has turned out to be very useful ...
  • thumb
    On self-normalizing subgroups of finite groups 
    Ballester Bolinches, Adolfo; Esteban Romero, Ramón; Li, Yangming (Walter de Gruyter, 2010-01)
    [EN] The aim of this paper is to characterise the classes of groups in which every subnormal subgroup is normal, permutable, or S-permutable by the embedding of the subgroups (respectively, subgroups of prime power order) ...
  • thumb
    On sigma-subnormal subgroups of factorised finite groups 
    Ballester Bolinches, Adolfo; Kamornikov, S. F.; Pedraza Aguilera, María Carmen; Yi, X. (Elsevier, 2020-10-01)
  • thumb
    On sigma-subnormality criteria in finite sigma-soluble groups 
    Ballester-Bolinches, A.; Kamornikov, S. F.; Pedraza Aguilera, María Carmen; Pérez-Calabuig, V. (Springer-Verlag, 2020-03-02)
    [EN] Let sigma = {sigma(i) : i is an element of I} be a partition of the set P of all prime numbers. A subgroup X of a finite group G is called sigma-subnormal in G if there is a chain of subgroups X = X-0 subset of X-1 ...
  • thumb
    On some classes of supersoluble groups 
    Ballester Bolinches, Adolfo; Beidleman, James C.; Esteban Romero, Ramón (Elsevier, 2007-06-01)
    [EN] Finite groups G for which for every subgroup H and for all primes q dividing the index |G:H| there exists a subgroup K of G such that H is contained in K and |K:H|=q are called Y-groups. Groups in which subnormal ...
  • thumb
    On Sylow normalizers of finite groups 
    Kazarin, Lev; Martínez Pastor, Ana; Perez Ramos, Maria Dolores (World Scientific Publishing, 2014-05)
    [EN] The paper considers the influence of Sylow normalizers, i.e. normalizers of Sylow subgroups, on the structure of finite groups. In the universe of finite soluble groups it is known that classes of groups with nilpotent ...
  • thumb
    On the abnormal structure of finite groups 
    Ballester Bolinches, Adolfo; Cossey, John; Esteban Romero, Ramón (European Mathematical Society, 2014)
    We study finite groups in which every maximal subgroup is supersoluble or normal. Our results answer some questions arising from papers of Asaad and Rose.
  • thumb
    On the exponent of mutually permutable products of two abelian groups 
    Ballester Bolinches, Adolfo; Cossey, John; Pedraza Aguilera, María Carmen (Elsevier, 2016-11-16)
    In this paper we obtain some bounds for the exponent of a finite group, and its derived subgroup, which is a mutually permutable product of two abelian subgroups. They improve the ones known for products of finite abelian ...
  • thumb
    On the supersoluble hypercentre of a finite group 
    Miao, Liyun; Ballester-Bolinches, Adolfo; Esteban Romero, Ramón; Li, Yangming (Springer-Verlag, 2017-12)
    [EN] We give some sufficient conditions for a normal p-subgroup P of a finite group G to have every G-chief factor below it cyclic. The S-permutability of some p-subgroups of O^p(G)plays an important role. Some known results ...
  • thumb
    On X-saturated formations of finite groups 
    Ballester Bolinches, Adolfo; Calvo Lopez, Clara; Esteban Romero, Ramón (Taylor and Francis, 2005-04)
    [EN] In the paper, a Frattini-like subgroup associated with a class X of simple groups is introduced and analysed. The corresponding X-saturated formations are exactly the X-local ones introduced by Förster. Our techniques ...
  • thumb
    Products of formations of finite groups 
    Ballester Bolinches, Adolfo; Calvo Lopez, Clara; Esteban Romero, Ramón (Elsevier, 2006-05-15)
    [EN] In this paper criteria for a product of formations to be X-local, X a class of simple groups, are obtained. Some classical results on products of saturated formations appear as particular cases.
  • thumb
    Some classes of finite groups and mutually permutable products 
    Asaad, Mohamed; Ballester Bolinches, Adolfo; Beidleman, James C.; Esteban Romero, Ramón (Elsevier, 2008-04-15)
    [EN] This paper is devoted to the study of mutually permutable products of finite groups. A factorised group G=AB is said to be a mutually permutable product of its factors A and B when each factor permutes with every ...
  • thumb
    Some subgroup embeddings in finite groups: A mini-review 
    Ballester-Bolinches, A.; Beidleman, J. C.; Esteban Romero, Ramón; Ragland, M. F. (Elsevier, 2015-05)
    [EN] In this survey paper several subgroup embedding properties related to some types of permutability are introduced and studied. ª 2014 Production and hosting by Elsevier B.V. on behalf of Cairo University
  • thumb
    Subgrupos solitarios de grupos finitos 
    Liriano Castro, Orieta del Corazón de Jesús (Universitat Politècnica de València, 2016-01-07)
    [EN] The scope of this thesis is the abstract finite group theory. All the groups we will consider will be finite. hence, the word "group" will be understood as a synonimous of "finite group". We say that a subgroup H of ...
  • thumb
    Sylow permutable subnormal subgroups of finite groups 
    Ballester Bolinches, Adolfo; Esteban Romero, Ramón (Elsevier, 2002-05-15)
    [EN] An extension of the well-known Frobenius criterion of p-nilpotence in groups with modular Sylow p-subgroups is proved in the paper. This result is useful to get information about the classes of groups in which every ...
  • thumb
    The number of maximal subgroups and probabilistic generation of finite groups 
    Ballester-Bolinches, Adolfo; Esteban Romero, Ramón; Jiménez-Seral, Paz; Meng, Hangyang (University of Isfahan, 2020-03)
    [EN] In this survey we present some significant bounds for the number of maximal subgroups of a given index of a finite group. As a consequence, new bounds for the number of random generators needed to generate a finite ...
  • thumb
    Z-permutable subgroups of finite groups 
    Heliel, A.A.; Ballester Bolinches, Adolfo; Esteban Romero, Ramón; Almestady, M.O. (Springer Verlag (Germany), 2016)
    Let Z be a complete set of Sylow subgroups of a finite group G, that is, a set composed of a Sylow p-subgroup of G for each p dividing the order of G. A subgroup H of G is called Z-permutable if H permutes with all members ...