Cascales, B.; Guirao Sánchez, Antonio José; Kadets, V.(Elsevier, 2013-06-20)
This paper is devoted to showing that Asplund operators with range in a uniform Banach algebra have
the Bishop¿Phelps¿Bollobas property, i.e., they are approximated by norm attaining Asplund operators
at the same time ...
Two subgroups and of a group are said to be totally completely conditionally permutable (tcc-permutable) if permutes with for some , for all and all . In this paper, we study finite products of tcc-permutable subgroups, ...
Martínez Pastor, Ana(Universitat Autònoma de Barcelona, 1994)
[EN] Let G be a finite group and p a prime . We consider an 1-injectar
K of G, being 1 a Fitting class between ~p* p
and ~P* ep, and we
study the structure and normality in G of the subgroups ZJ(K)
and ZJ* (K),provided ...
[EN] The paper considers the influence of Sylow normalizers, i.e. normalizers of Sylow subgroups, on the structure of finite groups. In the universe of finite soluble groups it is known that classes of groups with nilpotent ...
Kazarin, L. S.; Martínez Pastor, Ana; Perez Ramos, Maria Dolores(European Mathematical Society-Publishing House, 2015)
[EN] The aim of this paper is to prove the following result: let π be a set of odd primes. If the finite group G = AB is a product of two π-decomposable subgroups A = Oπ(A)×Oπ (A) and B = Oπ(B)×Oπ (B), then Oπ(A)Oπ(B)=Oπ(B)Oπ(A) ...
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 ...
Felipe Román, María Josefa; Martínez-Pastor, Ana; Ortiz-Sotomayor, Víctor Manuel(Springer-Verlag, 2017)
[EN] Let the group G = AB be the product of the subgroups A and B. We determine some structural properties of G when the p-elements in A. B have prime power indices in G, for some prime p. More generally, we also consider ...
Felipe, María José; Martínez Pastor, Ana; Ortiz-Sotomayor, Víctor Manuel(Elsevier, 2017)
[EN] We obtain some structural properties of a factorised group G = AB, given that the conjugacy class sizes of certain elements in A boolean OR B are not divisible by p(2), for some prime p. The case when G = AB is a ...