Let G=ABC be a group that is a product of three mutually permutable abelian subgroups A, B and C. In this paper we prove that if AB is nilpotent, then G is soluble and that if AB, BC and CA are nilpotent, then G is also nilpotent.
Gruppi fattorizzati da sottogruppi abeliani.
JABARA, Enrico
2008-01-01
Abstract
Let G=ABC be a group that is a product of three mutually permutable abelian subgroups A, B and C. In this paper we prove that if AB is nilpotent, then G is soluble and that if AB, BC and CA are nilpotent, then G is also nilpotent.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Jabara_fatt.PDF
embargo fino al 02/03/2078
Tipologia:
Documento in Post-print
Licenza:
Accesso gratuito (solo visione)
Dimensione
75.21 kB
Formato
Adobe PDF
|
75.21 kB | Adobe PDF | Visualizza/Apri |
I documenti in ARCA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
