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.
2011
14
807
818
A.L.Gilotti; L.Serena
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.

Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/405032
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact