Groups with complete lattice of nearly normal subgroups.

Título inglés	Groups with complete lattice of nearly normal subgroups.
Título español	Grupos con red completa de subgrupos casi normales.
Autor/es	De Falco, Maria ; Musella, Carmela
Organización	Dip. Mat. Appl. Univ. Napoli Federico II, Nápoles, Italia
Revista	1139-1138
Publicación	2002, 15 (2): 343-350, 8 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	A subgroup H of a group G is said to be nearly normal in G if it has finite index in its normal closure in G. A well-known theorem of B.H. Neumann states that every subgroup of a group G is nearly normal if and only if the commutator subgroup G' is finite. In this article, groups in which the intersection and the join of each system of nearly normal subgroups are likewise nearly normal are considered, and some sufficient conditions for such groups to be finite-by-abelian are given.
Clasificación UNESCO	120106
Palabras clave español	Teoría de grupos ; Subgrupos ; Retículos
Código MathReviews	MR1951815
Código Z-Math	Zbl 1021.20018
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