University of IsfahanInternational Journal of Group Theory2251-76509320200901Finite groups with seminormal or abnormal Sylow subgroups1391422321310.22108/ijgt.2018.112602.1500ENVictor StepanovichMonakhovFrancisk Skorina Gomel State University, Department of Mathematics, Sovetskaya str., 104, Gomel, 246019,
Republic of BelarusIrinaSokhorPhysic and Mathematic Department, Brest State A.S. Pushkin University, Brest, BelarusJournal Article20180819Let $G$ be a finite group in which every Sylow subgroup is seminormal or abnormal. We prove that $G$ has a Sylow tower. We establish that if a group has a maximal subgroup with Sylow subgroups under the same conditions, then this group is soluble.http://ijgt.ui.ac.ir/article_23213_e264600201db5f1c28650722665fff42.pdf