Title of article :
Finite groups with seminormal or abnormal Sylow subgroups
Author/Authors :
Monakhov, Victor Stepanovich Francisk Skorina Gomel State University - Department of Mathematics - Republic of Belarus , Sokhor, Irina Physic and Mathematic Department - Brest State A.S. Pushkin University - 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.
Keywords :
Finite group , Sylow subgroup , abnormal subgroup , seminormal subgroup
Journal title :
International Journal of Group Theory
