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 ...
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 ...
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 ...
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 ...
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 ...
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, ...
[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 ...
[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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
[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 ...
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 ...
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 ...
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 ...
[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 ...