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.
@article{urn:eudml:doc:39757,
title = {Los ret\'\i culos de las clases de Schunck normales y de las clases derivadas.},
journal = {Revista Matem\'atica Hispanoamericana},
volume = {39},
year = {1979},
pages = {70-86},
zbl = {0456.20008},
language = {es},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39757}
}
Lafuente López, Julio. Los retículos de las clases de Schunck normales y de las clases derivadas.. Revista Matemática Hispanoamericana, Tome 39 (1979) pp. 70-86. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39757/