| 条件c-正规子群对有限群结构的影响 |
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| 引用本文： | 郭静安,钟祥贵.条件c-正规子群对有限群结构的影响[J].河南师范大学学报(自然科学版),2008,36(5). |
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| 作者姓名： | 郭静安 钟祥贵 |
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| 作者单位： | 广西师范大学,数学科学学院,广西,桂林,541004 |
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| 基金项目： | 广西自然科学基金，广西研究生教育创新计划 |
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| 摘 要： | 称有限群G的子群H为G的条件c-正规子群,如果G有正规子群N使得HN■G,且H∩N HG.利用群G的某些特殊子群的条件c-正规性给出有限群为可解或超可解的若干充分条件,推广了相关文献中的一些结果.
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| 关 键 词： | 条件c-正规子群 超可解群 可解群 |
The Influence of Conditional c-normal Subgroups on the Structure of Finite Groups |
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| GUO Jing-an,ZHONG Xiang-gui.The Influence of Conditional c-normal Subgroups on the Structure of Finite Groups[J].Journal of Henan Normal University(Natural Science),2008,36(5). |
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| Authors: | GUO Jing-an ZHONG Xiang-gui |
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| Abstract: | Let G be a finite group.A subgroup H is called conditional c-normal if there exists a subgroup N of G such that HN■G and H∩NHG.In this paper,by using conditional c-normality of some special subgroups of G,it has been obtained that some results for a finite group to be a solvable or supersolvable group,and some previously known results are generalized. |
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| Keywords: | conditional c-normal subgroups supersolvable groups solvable groups |
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