Los retículos de las clases de Schunck normales y de las clases derivadas.

• Autores: Julio Pedro Lafuente López
• Localización: Revista matemática hispanoamericana, ISSN 0373-0999, Vol. 39, Nº. 2-3, 1979, págs. 70-86
• Idioma: español
• Títulos paralelos:
  • The lattices of normal Schunck classes and of derived classes.
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• Resumen

  • 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 s-closed class (s. 1.6) of simple groups; therefore the Derived classes are a natural generalization of the classes of p-groups. Finally we study the lattice properties of the normal Schunck classes relative to a class of groups.