| 关于有限群的p-幂零性 |
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| 引用本文： | 唐娜. 关于有限群的p-幂零性[J]. 安徽大学学报(自然科学版), 2017, 41(1). DOI: 10.3969/j.issn.1000-2162.2017.01.007 |
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| 作者姓名： | 唐娜 |
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| 作者单位： | 淮阴师范学院 数学科学学院,江苏 淮安,223300 |
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| 基金项目： | 国家自然科学基金资助项目，江苏省高校自然科学基金资助项目 |
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| 摘 要： | 令H是G的子群.若存在G的子群T使得G等于H与T的乘积,且H与T的交集小于等于HSE,且HSE是G的所有s-拟正规嵌入子群生成的H的子群,称H在G中λ-可补.通过假定群G的一些特定子群在G中λ-可补来刻画G的p-幂零性,一些已知结果被推广.
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| 关 键 词： | λ-可补子群 p-幂零群 Sylow子群 s-拟正规嵌入子群 可补子群 |
On p-nilpotency of finite groups |
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| TANG Na. On p-nilpotency of finite groups[J]. Journal of Anhui University(Natural Sciences), 2017, 41(1). DOI: 10.3969/j.issn.1000-2162.2017.01.007 |
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| Authors: | TANG Na |
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| Abstract: | Let H be a subgroup of G. H is said to be λ-supplemented in G if G has a subgroup T such that G is equal to HT and the intersection of H and T is no more than HSE,which HSE denotes the subgroup of H generated by all s-quasinormally embedded in G.In this paper,we proved that a finite group G was p-nilpotent by assuming some sub-groups of G were λ-supplemented in G and the known results were generalized. |
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| Keywords: | λ-supplemented subgroup p-nilpotent group Sylow subgroup s-quasinormally embedded subgroup supplemented subgroup |
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