| c-正规子群对有限群构造的影响 |
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| 引用本文： | 骆公志,王秀芳. c-正规子群对有限群构造的影响[J]. 淮阴师范学院学报(自然科学版), 2005, 4(1): 16-17,21 |
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| 作者姓名： | 骆公志 王秀芳 |
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| 作者单位： | 连云港师范高等专科学校,数学系,江苏,连云港,222006;连云港师范高等专科学校,数学系,江苏,连云港,222006 |
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| 摘 要： | 设群G为有限群,称G的子群H在G中c 正规,如果存在G的一个正规子群K,使得G=HK且H∩K≤HG,其中HG是包含在H中的G的最大正规子群.本文运用子群的c 正规性刻画了有限群的结构,由此获得了一些新的结论,并且推广了关于p 幂零群、亚幂零群的一些已知结果.
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| 关 键 词： | c-正规子群 π-Hall子群 p-幂零群 亚幂零群 |
| 文章编号： | 1671-6876(2005)01-0016-02 |
| 修稿时间： | 2004-09-28 |
The Influence of c-normal subgroups on the Structure of Finite Groups |
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| LUO Gong-zhi,WANG xiu-fang. The Influence of c-normal subgroups on the Structure of Finite Groups[J]. Journal of Huaiyin Teachers College(Natrual Science Edition), 2005, 4(1): 16-17,21 |
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| Authors: | LUO Gong-zhi WANG xiu-fang |
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| Abstract: | Let G a finite group. We called a subgroup H of a group G c-normal if there exists a normal subgroup K of G such that G=KH and H∩K≤H_G, where H_G is the largest normal subgroup of G contained in H. By using the normality of subgroups, we shall determine the structure of some finite groups. Some new results are obtained and some known results of p-nilpotnet groups and metanilpotent groups are generalized. |
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| Keywords: | c-normal subgroups π-Hall subgroups p-nilpotent groups metanilpotent groups |
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