| p-群二元生成子群的Frattini正规嵌入 |
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| 引用本文： | 祁燕. p-群二元生成子群的Frattini正规嵌入[J]. 山西师范大学学报：自然科学版, 2009, 23(2): 5-6 |
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| 作者姓名： | 祁燕 |
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| 作者单位： | 咸阳师范学院数学系,陕西,咸阳,712000 |
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| 基金项目： | 咸阳师范学院引进人才基金 |
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| 摘 要： | 研究了p-群二元生成子群的Frattin i正规嵌入问题,证明了：设G是p-群,N是非交换的p-群,N—G,N≤Φ（G）.若d（N）=2,则N为亚循环群.
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| 关 键 词： | Fratini正规嵌入 亚循环群 四元数群 内交换群 极大类群 |
The Frattini Normal Embedding of Two-Generator Subgroups of p-Groups |
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| QI Yan. The Frattini Normal Embedding of Two-Generator Subgroups of p-Groups[J]. Journal of Shanxi Teachers University, 2009, 23(2): 5-6 |
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| Authors: | QI Yan |
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| Affiliation: | Department of Mathematics of Xianyang Normal University;Xianyang 712000;Shaanxi;China |
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| Abstract: | In this paper,we study the two-generator normal subgroups,which contained in the Frattini subgroups of p-groups.And a new rusult is abtained.Let G be a p-group,with a normal subgroup N such that N≤Φ（G）.If d（N）=2,then N is metacyclic. |
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| Keywords: | the Frattini normal embedding the metacyclic group the quaternion group minimal non-abelian group the group of maximal class. |
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