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

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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

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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 -

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