The lattices of normal Schunck classes and of derived classes.

Julio Lafuente López

Revista Matemática Hispanoamericana (1979)

  • Volume: 39, Issue: 2-3, page 70-86
  • ISSN: 0373-0999

Abstract

top
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.

How to cite

top

Lafuente López, Julio. "Los retículos de las clases de Schunck normales y de las clases derivadas.." Revista Matemática Hispanoamericana 39.2-3 (1979): 70-86. <http://eudml.org/doc/39757>.

@article{LafuenteLópez1979,
author = {Lafuente López, Julio},
journal = {Revista Matemática Hispanoamericana},
keywords = {Grupos; Retículos; homomorph; normal Schunck class; derived classes; simple sections; projectors},
language = {spa},
number = {2-3},
pages = {70-86},
title = {Los retículos de las clases de Schunck normales y de las clases derivadas.},
url = {http://eudml.org/doc/39757},
volume = {39},
year = {1979},
}

TY - JOUR
AU - Lafuente López, Julio
TI - Los retículos de las clases de Schunck normales y de las clases derivadas.
JO - Revista Matemática Hispanoamericana
PY - 1979
VL - 39
IS - 2-3
SP - 70
EP - 86
LA - spa
KW - Grupos; Retículos; homomorph; normal Schunck class; derived classes; simple sections; projectors
UR - http://eudml.org/doc/39757
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.