| 半CAP-子群与有限群的性质 |
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| 引用本文： | 杨元.半CAP-子群与有限群的性质[J].苏州大学学报(医学版),2008,24(2):1-6. |
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| 作者姓名： | 杨元 |
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| 作者单位： | 苏州大学数学科学学院,江苏苏州215006 |
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| 摘 要： | 设G是有限群,G的子群H称为G的半CAP-子群,如果存在G的一个主群列1 =G0△←G1 …△←Gn-1△←Gn=G使得H覆盖或者避开Gi/Gi-1,其中i=1,2,…,n.本文主要讨论极小子群和4阶循环子群的半覆盖-避开性对有限群结构的影响.
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| 关 键 词： | 极小子群 CAP-子群 P-幂零 群系 |
Semi CAP-subgroups and the properties of finite groups |
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| Yang Yuanwei,Li Xianhua.Semi CAP-subgroups and the properties of finite groups[J].Journal of Suzhou University(Natural Science),2008,24(2):1-6. |
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| Authors: | Yang Yuanwei Li Xianhua |
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| Institution: | (School of Mathematic Science, Suzhou Univ., Suzhou 215006 China) |
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| Abstract: | Let G be a finite group.A subgroup H of G is said to be a semi CAP-subgroup of G if there exists a chief series 1=G0△←G1△← …△←Gn-1△←Gn=G such that for every i=1,2,…,n,either H covers Gi/Gi-1 or H avoids Gi/Gi-1.The purpose here is to study the influence of semi cover-avoiding properties of some minimal subgroups and some cyclic subgroups of order 4 on the structure of finite groups. |
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| Keywords: | minimal subgroup semi CAP-subgroup p-nilpotent formation |
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