abstract: In this paper we generalize and unify several results proved in recent papers about the existence of normal p-complements and conditions on supersolubility. Moreover a counterexample is given to a question in [13] and it is proved that a finite group is 2-nilpotent if the cyclic subgroups of order less or equal than four are strongly closed.
Remarks on chains of weakly closed subgroups / A.L.Gilotti; L.Serena. - In: JOURNAL OF GROUP THEORY. - ISSN 1433-5883. - STAMPA. - 14:(2011), pp. 807-818. [10.1515/JGT.2011.086]
Remarks on chains of weakly closed subgroups
GILOTTI, ANNA LUISA;SERENA, LUIGI
2011
Abstract
abstract: In this paper we generalize and unify several results proved in recent papers about the existence of normal p-complements and conditions on supersolubility. Moreover a counterexample is given to a question in [13] and it is proved that a finite group is 2-nilpotent if the cyclic subgroups of order less or equal than four are strongly closed.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
chains.pdf
Accesso chiuso
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
Tutti i diritti riservati
Dimensione
124.44 kB
Formato
Adobe PDF
|
124.44 kB | Adobe PDF | Richiedi una copia |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.