%0 Journal Article
%T Supersoluble conditions and transfer control
%A Anna Luisa Gilotti
%A Luigi Serena
%J International Journal of Group Theory
%D 2013
%I University of Isfahan
%X 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 group that can be seen as a generalization of the well konwn 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-chain and Phi-chain.
%K transfer control
%K normal p-complement
%K supersoluble groups
%K strongly closed subgroup
%U http://www.theoryofgroups.ir/?_action=showPDF&article=2740&_ob=448422e5d677e318f74f297e7784d5a0&fileName=full_text.pdf.