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Listar por palabra clave "Finite group"

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Listar por palabra clave "Finite group"

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    A generalization to Sylow permutability of pronormal subgroups of finite groups 
    Esteban Romero, Ramón; Longobardi, P.; Maj, M. (World Scientific, 2020-03)
    [EN] In this note, we present a new subgroup embedding property that can be considered as an analogue of pronormality in the scope of permutability and Sylow permutability in finite groups. We prove that finite PST-groups, ...
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    A note on a result of Guo and Isaacs about p-supersolubility of finite groups 
    Ballester-Bolinches, Adolfo; Esteban Romero, Ramón; Qiao, ShouHong (Springer Verlag (Germany), 2016-06)
    In this note, global information about a finite group is obtained by assuming that certain subgroups of some given order are S-semipermutable. Recall that a subgroup H of a finite group G is said to be S-semipermutable if ...
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    A note on finite PST-groups 
    Ballester Bolinches, Adolfo; Esteban Romero, Ramón; Ragland, Matthew F. (Walter de Gruyter, 2007-03)
    [EN] A finite group G is said to be a PST-group if, for subgroups H and K of G with H Sylow-permutable in K and K Sylow-permutable in G, it is always the case that H is Sylow-permutable in G. A group G is a T*-group if, ...
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    A note on solitary subgroups of finite groups 
    Esteban Romero, Ramón; Liriano, Orieta (Taylor & Francis, 2016-06)
    We say that a subgroup H of a finite group G is solitary (respectively, normal solitary) when it is a subgroup (respectively, normal subgroup) of G such that no other subgroup (respectively, normal subgroup) of G is ...
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    A question from the Kourovka Notebook on formation products 
    Ballester Bolinches, Adolfo; Calvo Lopez, Clara; Esteban Romero, Ramón (Cambridge University Press, 2003-12)
    [EN] It is shown in this paper that if X is a class of simple groups such that pi(X) = char X, the X-saturated formation H generated by a finite group cannot be expressed as the Gaschütz product F o G of two non-X-saturated ...
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    A question on partial CAP-subgroups of finite groups 
    Ballester Bolinches, Adolfo; Esteban Romero, Ramón; Li, Yangming (Springer and Science China Press, 2012-05)
    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 every chief factor of the series. The structural impact of the partial cover and avoidance ...
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    Corrigendum: A note on finite PST-groups [J. Group Theory 10 (2007), 205-210] 
    Ballester Bolinches, Adolfo; Esteban Romero, Ramón; Ragland, Matthew F. (Walter de Gruyter, 2009-11)
    This is a corrigendum to "A Note on Finite PST-Groups" (J. Group Theory 10 (2007), 205-210).
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    Finite groups with all minimal subgroups solitary 
    Esteban Romero, Ramón; Liriano, Orieta (World Scientific Publishing, 2016-10)
    We give a complete classification of the finite groups with a unique subgroup of order p for each prime p dividing its order. All the groups considered in this paper will be finite. One of the most fruitful lines in the ...
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    On a class of p-soluble groups 
    Ballester Bolinches, Adolfo; Esteban Romero, Ramón; Pedraza Aguilera, María Carmen (World Scientific Publishing Co., 2005-06)
    [EN] Let p be a prime. The class of all p-soluble groups G such that every p-chief factor of G is cyclic and all p-chief factors of G are G-isomorphic is studied in this paper. Some results on T-, PT-, and PST -groups are ...
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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 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 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 ...