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.
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