Finite groups with seminormal or abnormal Sylow subgroups
Monakhov, Victor Stepanovich
Sokhor, Irina Leonidovna
Сохор, Ирина Леонидовна
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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.