University of Isfahan International Journal of Group Theory 2251-7650 9 3 2020 09 01 Finite groups with seminormal or abnormal Sylow subgroups 139 142 23213 10.22108/ijgt.2018.112602.1500 EN Victor Stepanovich Monakhov Francisk Skorina Gomel State University, Department of Mathematics, Sovetskaya str., 104, Gomel, 246019, Republic of Belarus Irina Sokhor Physic and Mathematic Department, Brest State A.S. Pushkin University, Brest, Belarus Journal Article 2018 08 19 ‎Let $G$ 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. https://ijgt.ui.ac.ir/article_23213_e264600201db5f1c28650722665fff42.pdf