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Listar por autor "Ballester Bolinches, Adolfo"

Mostrando ítems 1-20 de 60

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A characterisation via graphs of the soluble groups in which permutability is transitive

Ballester Bolinches, Adolfo; Cossey, John; Esteban Romero, Ramón (Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine, 2009)

[EN] 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 ...
A class of generalised finite T-groups

Ballester-Bolinches, A; Feldman ., A.D; Pedraza Aguilera, María Carmen; Ragland., M.F (Elsevier, 2011-05)

Let F be a formation (of finite groups) containing all nilpotent groups such that any normal subgroup of any T-group in F and any subgroup of any soluble T-group in F belongs to F. A subgroup M of a finite group G is said ...
A description based on languages of the final non-deterministic automaton

Ballester-Bolinches, A.; Cosme-Llopez, E; Esteban Romero, Ramón (Elsevier, 2014-05-29)

The study of the behaviour of non-deterministic automata has traditionally focused on the languages which can be associated to the different states. Under this interpretation, the different branches that can be taken at ...
A family of dominant Fitting classes of finite soluble groups

Ballester-Bolinches, A; Martínez Pastor, Ana; Pérez-Ramos, M.D. (Cambridge University Press - Australian Mathematical Society, 1998-02)

[EN] In this paper a large family of dominant Fitting classes of finite soluble groups and the description of the corresponding injectors are obtained. Classical constructions of nilpotent and Lockett injectors as well as ...
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 ...
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, ...
A note on the rational canonical form of an endomorphism of a vector space of finite dimensions

Ballester-Bolinches, A.; Esteban Romero, Ramón; Pérez-Calabuig, Vicente (Element d.o.o., 2018)

[EN] In this note, we give an easy algorithm to construct the rational canonical form of a square matrix or an endomorphism h of a finite dimensional vector space which does not depend on either the structure theorem for ...
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 ...
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 ...
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).
Finite trifactorized groups and formations

Ballester-Bolinches, A.; Martínez Pastor, Ana; Pedraza Aguilera, María Carmen (Elsevier, 2000-04-15)
Formations of monoids, congruences, and formal languages

Ballester Bolinches, Adolfo; Cosme-Llópez, E.; Esteban Romero, Ramón; Rutten, J.J.M.M. (Alexandru Ioan Cuza University of Iasi, 2015)

The main goal in this paper is to use a dual equivalence in automata theory started in [25] and developed in [3] to prove a general version of the Eilenberg-type theorem presented in [4]. Our principal results confirm the ...
Generalised mutually permutable products and saturated formations

Ballester-Bolinches, A.; Madanha, S. Y.; Pedraza Aguilera, María Carmen (Elsevier, 2022-04-01)

[EN] We say that a group G = AB is the weakly mutually permutable product of the subgroups A and B, if A permutes with every subgroup of B containing A boolean AND B and B permutes with every subgroup of Acontaining A ...
Graphs and classes of finite groups

Ballester-Bolinches, A.; Cossey, John; Esteban Romero, Ramón (Universita del Salento, 2013)

[EN] There are different ways to associate to a finite group a certain graph. An interesting question is to analyse the relations between the structure of the group, given in group-theoretical terms, and the structure of ...
Group extensions and graphs

Ballester Bolinches, Adolfo; Cosme-Llópez, E.; Esteban Romero, Ramón (Elsevier, 2016)

A classical result of Gaschütz affirms that given a finite A-generated group G and a prime p, there exists a group G# and an epimorphism phi: G# ---> G whose kernel is an elementary abelian p-group which is universal among ...
Groups whose primary subgroups are normal sensitive

Ballester-Bolinches, Adolfo; Kurdachenko, Leonid A.; Otal, Javier; Pedraza Aguilera, Tatiana (Springer Verlag (Germany), 2014-10)

A subgroup of a group is said to be normal sensitive in if for every normal subgroup of . In this paper we study locally finite groups whose -subgroups are normal sensitive. We show the connection between these groups and ...
Left braces and the quantum Yang-Baxter equation

Meng, H.; BALLESTER BOLINCHES, ADOLFO; Esteban Romero, Ramón (Cambridge University Press, 2019-05)

[EN] Braces were introduced by Rump in 2007 as a useful tool in the study of the set-theoretic solutions of the Yang¿Baxter equation. In fact, several aspects of the theory of finite left braces and their applications in ...
Maximal subgroups and PST-groups

Ballester-Bolinches, A.; Beidleman, J.C.; Esteban Romero, Ramón; Pérez-Calabuig, V. (Springer Verlag (Germany), 2013-06)

A subgroup H of a group G is said r to permute with a subgroup K of G if HK is a subgroup of G. H is said to be permutable (resp. S-permutable) if it permutes with all the subgroups (resp. Sylow subgroups) of G. Finite ...
Nilpotent-like Fitting formations of finite soluble groups

Ballester-Bolinches, A.; Pérez-Ramos, M.D.; Martínez Pastor, Ana (Cambridge University Press, 2000-12)

[EN] In this paper the subnormal subgroup closed saturated formations of finite soluble groups containing nilpotent groups are fully characterised by means of extensions of well-known properties enjoyed by the formation ...
On a class of generalised Schmidt groups

Ballester Bolinches, Adolfo; Esteban Romero, Ramón; Jiang, Qinhui; Li, Xianhua (SpringerFondazione Annali di Matematica Pura ed Applicata, 2015-02)

In this paper families of non-nilpotent subgroups covering the non-nilpotent part of a finite group are considered. An A 5 -free group possessing one of these families is soluble, and soluble groups with this property have ...