| On Finite Groups with Some Semi Cover-Avoiding Subgroups |
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| 引用本文： | Xiu Yun GUO Li Li WANG. On Finite Groups with Some Semi Cover-Avoiding Subgroups[J]. 数学学报(英文版), 2007, 23(9): 1689-1696. DOI: 10.1007/s10114-007-0946-4 |
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| 作者姓名： | Xiu Yun GUO Li Li WANG |
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| 作者单位： | Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China |
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| 基金项目： | The research was partially supported by the National Natural Science Foundation of China（10471085）, the Shanghai Pujiang Program （05PJ14046） and the Special Funds for Major Specialities of Shanghai Education Committee |
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| 摘 要： |
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| 关 键 词： | 组件 子群 近似值 数学 |
| 收稿时间： | 2005-08-16 |
| 修稿时间： | 2005-08-16 |
On Finite Groups with Some Semi Cover-Avoiding Subgroups |
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| Xiu Yun Guo,Li Li Wang. On Finite Groups with Some Semi Cover-Avoiding Subgroups[J]. Acta Mathematica Sinica(English Series), 2007, 23(9): 1689-1696. DOI: 10.1007/s10114-007-0946-4 |
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| Authors: | Xiu Yun Guo Li Li Wang |
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| Affiliation: | (1) Department of Mathematics, Shanghai University, Shanghai, 200444, P. R. China |
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| Abstract: | A subgroup H of a finite group G is said to have the semi-cover-avoiding property in G if there is a chief series of G such that H covers or avoids every chief factor of the series. In this paper, some new results are obtained based on the assumption that some subgroups have the semi-cover-avoiding property in the group. |
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| Keywords: | semi-cover-avoidance property fitting subgroups supersolvable groups |
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