Document Type: Research Paper
Francisk Skorina Gomel State University, Department of Mathematics, Sovetskaya str., 104, Gomel, 246019, Republic of Belarus
Physic and Mathematic Department, Brest State A.S. Pushkin University, Brest, Belarus
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.