Author/Authors :
سرنا، لوييجي نويسنده Dipartimento di Matematica e Informatica U.Dini , Universita di Firenze, Viale Morgagni 67/A, 50134 Firenze, Italy Serena, Luigi , لويزا گيلوتي، آنا نويسنده Dipartimento di Matematica, Universita di Bologna, p.zza di Porta S. Donato 5, 40126 Bologna, Italy Luisa Gilotti, Anna
Abstract :
In this paper we give a new condition for a Sylow p-subgroup of a finite group to control
transfer. Then it is deduced a characterization of supersoluble groups that can be seen as a generalization
of the well known result concerning the supersolubility of finite groups with cyclic Sylow subgroups.
Moreover a condition for a normal embedding of a strongly closed p-subgroup is given. These results
make use of the properties of G-chains and -chains.