Inductive lattices of totally composition formations

• Autores: Aleksandre Tsarev
• Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 52, Nº. 2, 2018, págs. 161-169
• Idioma: inglés
• DOI: 10.15446/recolma.v52n2.77156
• Títulos paralelos:
  • Retículos inductivos de formaciones totalmente compositivas
• Enlaces
  • Texto completo
• Resumen
  • español

    Seaτun funtor de subgrupo de modo que todos los subgruposde cualquier grupo finitoGcontenido enτ(G) son subnormales enG. Eneste art ́ıculo, damos una demostraci ́on simple de que el ret ́ıculo de todas lasformaciones de composici ́on totalmenteτ-cerradas de los grupos finitos esinductivo.

  • English

    Letτbe a subgroup functor such that all subgroups of every finitegroupGcontained inτ(G) are subnormal inG. In this paper, we give a simpleproof of the fact that the lattice of allτ-closed totally composition formationsof finite groups is inductive.

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