University of Isfahan International Journal of Group Theory 2251-7650 2 1 2013 03 01 Supersoluble conditions and transfer control 157 166 2740 10.22108/ijgt.2013.2740 EN Anna Luisa Gilotti Universita Bologna Luigi Serena Dipartimento di Matematica U. Dini Viale Morgagni 67/A 50134 FIRENZE Journal Article 2012 06 27 ‎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 characteri-zation 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 $\Phi$-chains‎.<br />  transfer control normal p-complement supersoluble groups strongly closed subgroup https://ijgt.ui.ac.ir/article_2740_448422e5d677e318f74f297e7784d5a0.pdf