Monakhov, V., Sokhor, I. (2019). Finite groups with seminormal or abnormal Sylow subgroups. International Journal of Group Theory, (), -. doi: 10.22108/ijgt.2018.112602.1500
Victor Stepanovich Monakhov; Irina Sokhor. "Finite groups with seminormal or abnormal Sylow subgroups". International Journal of Group Theory, , , 2019, -. doi: 10.22108/ijgt.2018.112602.1500
Monakhov, V., Sokhor, I. (2019). 'Finite groups with seminormal or abnormal Sylow subgroups', International Journal of Group Theory, (), pp. -. doi: 10.22108/ijgt.2018.112602.1500
Monakhov, V., Sokhor, I. Finite groups with seminormal or abnormal Sylow subgroups. International Journal of Group Theory, 2019; (): -. doi: 10.22108/ijgt.2018.112602.1500
Finite groups with seminormal or abnormal Sylow subgroups
1Francisk Skorina Gomel State University, Department of Mathematics, Sovetskaya str., 104, Gomel, 246019, Republic of Belarus
2Physic and Mathematic Department, Brest State A.S. Pushkin University, Brest, Belarus
Abstract
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.
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