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 |
Acceso al artículo completo |