On CSQ-normal subgroups of finite groups

Abstract

We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups. As an application of our results, some recent results are generalized.

Keywords

• csq-normal subgroup
• nilpotent subgroup
• supersolvable subgroup
• 20d10
• 20d15