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| 具有给定Sylow-子群正规化子的有限群 | |
| 引用本文： | 刘玉凤,何鸣,郭文彬. 具有给定Sylow-子群正规化子的有限群[J]. 数学杂志, 2007, 27(4): 425-428 |
| 作者姓名： | 刘玉凤 何鸣 郭文彬 |
| 作者单位： | 1. 山东工商学院数学与信息科学学院,山东,烟台,264005 2. 江阴职业技术学院,江苏,江阴,214400 3. 徐州师范大学数学系,江苏,徐州,221116 |
| 摘 要： | 本文研究了部分Sylow-子群的正规化子属于某群系且具有给定指数的有限{ p,q}-可解群,利用Sylow-子群正规化子的性质,获得了相关群的一个分类定理,并给出了若干推论. |
| 关 键 词： | 有限群 Sylow-子群 正规化子 指数 群系 |
| 文章编号： | 0255-7797（2007）04-0425-04 |
| 修稿时间： | 2004-04-022006-04-19 |
FINITE GROUPS WITH GIVEN NORMALIZERS OF SYLOW SUBGROUPS |
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| LIU Yu-feng,HE Ming,GUO Wen-bin. FINITE GROUPS WITH GIVEN NORMALIZERS OF SYLOW SUBGROUPS[J]. Journal of Mathematics, 2007, 27(4): 425-428 | |
| Authors: | LIU Yu-feng HE Ming GUO Wen-bin |
| Affiliation: | 1. School of Math. and Informational Science, Shandong Institute of Business and Technology, Yantai 264005, China;2. Jiangyin Polytechnic College, Jiangyin 214400, China;3.Dept of Math., Xuzhou Normal University, Xuzhou 221116, China |
| Abstract: | In this paper, we investigate the finite {p,q}-soluble groups with given indices of normalizers of Sylow subgroups belonging to a formation in terms of the property of normalizers of Sylow subgroups. A theorem for the group is obtained, and some corollarys are given. |
| Keywords: | finite group Sylow subgroup normalizer index formation |
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