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Browsing by Subject "Finite group"

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Browsing by Subject "Finite group"

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    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 ...
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    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) ...
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    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 ...
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    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 ...
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    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.
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    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 ...
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    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 ...
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    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 ...
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    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.
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    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 ...
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    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
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    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 ...
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    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 ...
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    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 ...
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    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 ...