Finite groups with seminormal or abnormal Sylow subgroups

نویسندگان
Monakhov, Victor Stepanovich ID 1
Sokhor, Irina ID 2

1 Francisk Skorina Gomel State University, Department of Mathematics, Sovetskaya str., 104, Gomel, 246019, Republic of Belarus

2 Physic and Mathematic Department, Brest State A.S. Pushkin University, Brest, Belarus

doi
10.22108/ijgt.2018.112602.1500
چکیده

‎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.

کلیدواژه‌ها
Finite group, Sylow subgroup, abnormal subgroup, seminormal subgroup