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Browsing by Author "Ballester Bolinches, Adolfo"

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Browsing by Author "Ballester Bolinches, Adolfo"

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    On a class of supersoluble groups 
    Ballester-Bolinches, A; Beidleman, J. C.; Esteban Romero, Ramón; Ragland, M. F. (Cambridge University Press (CUP): STM Journals - No Cambridge Open, 2014-10)
    A subgroup H of a finite group G is said to be S-semipermutable in G if H permutes with every Sylow q-subgroup of G for all primes q not dividing |H|. A finite group G is an MS-group if the maximal subgroups of all the ...
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    On a graph related to permutability in finite groups 
    Ballester Bolinches, Adolfo; Cossey, John; Esteban Romero, Ramón (Springer, 2010-09)
    For a finite group G we define the graph $\Gamma(G)$ to be the graph whose vertices are the conjugacy classes of cyclic subgroups of G and two conjugacy classes $\{\mathcal {A}, \mathcal {B}\}$ are joined by an edge if for ...
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    On a question of Beidleman and Robinson 
    Ballester Bolinches, Adolfo; Esteban Romero, Ramón (Taylor & Francis, 2002-12-01)
    [EN] In [J. C. Beidleman, D. J. S. Robinson, J. Algebra 1997, 191, 686--703, Theorem A], Beidleman and Robinson proved that if a group satisfies the permutizer condition, it is soluble, its chief factors have order a prime ...
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    On a theorem of Kang and Liu on factorised groups 
    Ballester-Bolinches, A.; Pedraza Aguilera, María Carmen (Cambridge University Press, 2018-02)
    [EN] Kang and Liu ['On supersolvability of factorized finite groups', Bull. Math. Sci. 3 (2013), 205-210] investigate the structure of finite groups that are products of two supersoluble groups. The goal of this note is ...
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    On Factorised Finite Groups 
    Ballester-Bolinches, A.; Li, Y.; Pedraza Aguilera, María Carmen; Su, Ning (Springer-Verlag, 2020-02-22)
    [EN] A subgroup H of a finite group G is called P-subnormal in G if either H = G or it is connected to G by a chain of subgroups of prime indices. In this paper, some structural results of finite groups which are factorised ...
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    On finite groups generated by strongly cosubnormal subgroups 
    Ballester Bolinches, Adolfo; Cossey, John; Esteban Romero, Ramón (Elsevier, 2003-01-01)
    [EN] Two subgroups A and B of a group G are cosubnormal if A and B are subnormal in their join <A,B> and are strongly cosubnormal if every subgroup of A is cosubnormal with every subgroup of B. We find necessary and ...
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    On finite groups with many supersoluble subgroups 
    Ballester-Bolinches, A.; Esteban Romero, Ramón; Lu, Jiakuan (Springer-Verlag, 2017)
    [EN] The solubility of a finite group with less than 6 non-supersoluble subgroups is confirmed in the paper. Moreover we prove that a finite insoluble group has exactly 6 non-supersoluble subgroups if and only if it is ...
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    On finite minimal non-nilpotent groups 
    Ballester Bolinches, Adolfo; Esteban Romero, Ramón; Robinson, Derek J. S. (American Mathematical Society, 2005-06-08)
    [EN] A critical group for a class of groups X is a minimal non-X-group. The critical groups are determined for various classes of finite groups. As a consequence, a classification of the minimal non-nilpotent groups (also ...
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    On finite soluble groups in which Sylow permutability is a transitive relation 
    Ballester Bolinches, Adolfo; Esteban Romero, Ramón (Springer Verlag, 2003-11)
    A characterisation of finite soluble groups in which Sylow permutability is a transitive relation by means of subgroup embedding properties enjoyed by all the subgroups is proved in the paper. The key point is an extension ...
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    On finite T-groups 
    Ballester Bolinches, Adolfo; Esteban Romero, Ramón (Cambridge University Press, 2003-10)
    [EN] Characterisations of finite groups in which normality is a transitive relation are presented in the paper. We also characterise the finite groups in which every subgroup is either permutable or coincides with its ...
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    On large orbits of supersoluble subgroups of linear groups 
    Meng, H.; Ballester-Bolinches, A.; Esteban Romero, Ramón (London Mathematical Society, 2019-09)
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    On minimal non-supersoluble groups 
    Ballester Bolinches, Adolfo; Esteban Romero, Ramón (European Mathematical Society, 2007-04)
    [EN] The aim of this paper is to classify the finite minimal non-p-supersoluble groups, p a prime number, in the p-soluble universe.
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    On mutually permutable products of finite groups 
    Ballester-Bolinches, A.; Li, Yangming; Pedraza Aguilera, María Carmen; Su, Ning (European Mathematical Society Publishing House, 2018-12-28)
    [EN] The main purpose of this paper is to study mutually permutable products G = AB in which the subgroups of prime order p and cyclic of order 4 (if p = 2) of the largest normal subgroup of G contained in A boolean AND B ...
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    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.
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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 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 ...
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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 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 ...