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 ...
Sanabria-Codesal, Esther; Alegre Gil, Maria Carmen; Bravo Villar, María Pilar; Esteban Romero, Ramón; Fuster Capilla, R.; Gasso Matoses, María Teresa; Martínez-Pastor, Ana; Monserrat Delpalillo, Francisco José; Pedraza Aguilera, María Carmen(Instituto de Ciencias de la Educación de la Universidad de Alicante, 2011-11-08)
[ES] Durante el curso 2010-11 se ha implantado la titulación de Grado en Ingeniería Informática en la Escuela
Técnica Superior de Ingeniería Informática (ETSINF) de la Universidad Politécnica de Valencia (UPV).
Álgebra es ...
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 ...
Ballester-Bolinches, Adolfo; Madanha, Sesuai Y.; Shumba, Tendai M. Mudziiri; Pedraza Aguilera, María Carmen(Cambridge University Press, 2024-01-30)
[EN] 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 $A \cap B$ and B permutes with every subgroup of A containing $A \cap B$ . Weakly ...
[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 ...
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 ...
Ballester-Bolinches, A.; Madanha, S. Y.; Mudziiri Shumba, T. M.; Pedraza Aguilera, María Carmen(Cambridge University Press, 2022-04)
[EN] In this paper, we study the structure of finite groups G = AB which are a weakly mutually sn-permutable product of the subgroups A and B, that is, A permutes with every subnormal subgroup of B containing A boolean AND ...
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 ...
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 ...
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.
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 ...
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 ...
[EN] A group G has finite (or Prufer or special) rank if every finitely generated subgroup of G can be generated by r elements and r is the least integer with this property. The aim of this paper is to prove the following ...
Ballester-Bolinches, A.; Cossey, J.; Madanha, S. Y.; Pedraza Aguilera, María Carmen(Springer-Verlag, 2024-02)
[EN] We say a group G = AB is the totally semipermutable product of subgroups A and B if every Sylow subgroup P of A is totally permutable with every Sylow subgroup Q of B whenever gcd(|P|,|Q|)=1\documentclass[12pt]{minimal} ...
We continue here our study of pairwise mutually and pairwise totally permutable
products. We are looking for subgroups of the product in which the given factorization
induces a factorization of the subgroup. In the case ...
Alegre Gil, Maria Carmen; Martínez Pastor, Ana; Pedraza Aguilera, María Carmen(Editorial Universitat Politècnica de València, 1997-07-23)
Se trata de un texto de problemas resueltos en el ámbito de la Matemática Discreta,
destinado principalmente a estudiantes de Informática, aunque muchos de los tópicos
incluidos pueden ser útiles a estudiantes de otras ...