| 有限群的Z-半置换子群 |
| |
| 引用本文： | 何先应.有限群的Z-半置换子群[J].南昌大学学报(理科版),2006,30(4):327-330. |
| |
| 作者姓名： | 何先应 |
| |
| 作者单位： | 江西财经职业学院,基础部,江西,九江,332000 |
| |
| 摘 要： | 设G是有限群，称Z是G的一个Sylow子群完全集，如果对IGI的每一个素因子p，Z包含G的一个且仅一个Sylow p-子群。G的一个子群H称为在G中Z-半置换的，如果H与Z中每一个阶与｜H｜互素的元素可置换。本文研究群G的Sylow-子群的极大子群的Z-半置性对G的结构的影响，改进了一些新近的结论。
|
| 关 键 词： | Z-半置换子群 超可解群 广义Fitting子群 |
| 文章编号： | 1006-0464（2006）04-0327-04 |
| 收稿时间： | 2005-10-15 |
| 修稿时间： | 2005年10月15 |
On Z-semipermutable Subgroups of Finite Groups |
| |
| HE Xian-ying.On Z-semipermutable Subgroups of Finite Groups[J].Journal of Nanchang University(Natural Science),2006,30(4):327-330. |
| |
| Authors: | HE Xian-ying |
| |
| Institution: | Department of Mathematics, South China Normal University GuangZhou 510631, China |
| |
| Abstract: | Firstly from Fourier transformation transform the two dimensional maximal function oi Kakeya type to the oscillatory integrals, then through these oscillatory integrals to get estimate, this paper uses the methods of Littlewood-Paley to divide these oscillatory integrals into different operator. When estimate the maximal operator,from the Newton-Leibnig formula to transform the integral form,last form the classical estimate of oscillatory integral,it get the result. This method emphasises the method of oscillatory integral, different from the geometric measure method as before. |
| |
| Keywords: | fourior transformation oscillatory integral maximal function |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
