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

Julio Pedro Lafuente López Árbol académico

  • 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.


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