Título inglés |
The lattices of normal Schunck classes and of derived classes. |
Título español |
Los retículos de las clases de Schunck normales y de las clases derivadas. |
Autor/es |
Lafuente López, Julio |
Organización |
Dep. Alg. Fundam. Fac. Cienc. Secc. Mat. Univ. Zaragoza, Zaragoza, España |
Revista |
0373-0999 |
Publicación |
1979, 39 (2-3): 70-86, 9 Ref. |
Tipo de documento |
articulo |
Idioma |
Español |
Resumen inglés |
All groups to be considered are finite. The main result of this paper is the following: the normal Schunck classes compose a complete and distributive lattice antiisomorphic to the lattice composed by the Derived classes (s. [5]). It begins with a first section of machinery which establishes that the Derived classes are precisely the classes of groups G such that every simple section of G appartains to a σ-closed class (s. 1.6) of simple groups; therefore the Derived classes are a natural generalization of the classes of π-groups. Finally we study the lattice properties of the normal Schunck classes relative to a class of groups. |
Clasificación UNESCO |
120106 |
Palabras clave español |
Grupos ; Retículos |
Código Z-Math |
Zbl 0456.20008 |
Acceso al artículo completo |