| p-Fitting子群的CAP-嵌入子群 |
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| 引用本文： | 郭鹏飞,郭秀云.p-Fitting子群的CAP-嵌入子群[J].数学的实践与认识,2010,40(24). |
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| 作者姓名： | 郭鹏飞 郭秀云 |
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| 基金项目： | 国家自然科学基金，生态风险评价中数学模型的构建 |
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| 摘 要： | 群G的子群H称为G的CAP-嵌入子群,如果对于|H|的每个素因子p,存在G的某个CAP-子群K,使得H的某个Sylow p-子群也是K的一个Sylowp-子群.本文通过假定G的p-Fitting子群F_p(G)的某个Sylow p-子群的每个极大子群是G的CAP-嵌入子群,得到一些新的结果.
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| 关 键 词： | CAP-嵌入子群 极大子群 p-幂零群 超可解群 |
On CAP-Embedded Subgroups of p-Fitting Subgroups |
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| GUO Peng-fei,GUO Xiu-yun.On CAP-Embedded Subgroups of p-Fitting Subgroups[J].Mathematics in Practice and Theory,2010,40(24). |
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| Authors: | GUO Peng-fei GUO Xiu-yun |
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| Abstract: | A subgroup H of a finite group G is said to be CAP-embedded subgroup of G if, for each prime p dividing the order of H,there exists a CAP-subgroup K of G such that a Sylow p-subgroup of H is also a Sylow p-subgroup of K.In this paper,some new results are obtained based on the assumption that every maximal subgroup of some Sylow p-subgroup of p-Fitting subgroup F_p(G) have the CAP-embedded property in the group G. |
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| Keywords: | CAP-embedded subgroups maximal subgroups p-nilpotent groups supersolvable groups |
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