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| Minimal inner-Σ-Ω-groups and their applications | |
| 基金项目： | supported by National Natural Science Foundation of China (Grant No.10871032); the Natural Science Foundation of Jiangsu Province (Grant No. BK2008156) |
| 摘 要： | We introduce and study the minimal inner-Σ-Ω-groups and the minimal outer-Σ-■-groups.Then we give some applications and obtain some interesting results,including characterizations of nilpotent,supersolvable,solvable,and p-closed groups in terms of the join of two conjugate cyclic subgroups having the same property. |
| 关 键 词： | nilpotent subgroup supersolvable subgroup a pair of conjugate subgroups minimal inner-Σ-Ω-group |
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