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 ...
Ballester-Bolinches, Adolfo; Esteban-Romero, Ramón; Madanha, Sesuai Y.; Pedraza Aguilera, María Carmen(Cambridge University Press, 2023-04)
[EN] In this note, we investigate some products of subgroups and vanishing conjugacy class sizes of finite groups. We prove some supersolubility criteria for groups with restrictions on the vanishing conjugacy class sizes ...