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Página principal > Artículos > Artículos publicados > The nilpotency of some groups with all subgroups subnormal |
Fecha: | 1998 |
Resumen: | Let G be a group with all subgroups subnormal. A normal subgroup N of G is said to be G-minimax if it has a ¯nite G-invariant series whose factors are abelian and satisfy either max-G or min- G. It is proved that if the normal closure of every element of G is G-minimax then G is nilpotent and the normal closure of every element is minimax. Further results of this type are also obtained. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió publicada |
Publicado en: | Publicacions matemàtiques, V. 42 n. 2 (1998) p. 411-421, ISSN 2014-4350 |
11 p, 116.7 KB |