| 摘要: |
| 采用新的思想方法,应用CI-截的概念,得到群G正规子群H为可解、p-可解及π-可解的若干判定定理,并推广了文献[2]的相关结果. |
| 关键词: 极大子群 CI-截 可解群 π-可解群 |
| DOI： |
| 投稿时间：2004-05-08修订日期：2004-07-09 |
| 基金项目:国家自然科学基金(10161001)及广西自然科学基金(0249001)资助项目。 |
|
| The Study on CI-section of Maximal Subgroup and the Solvability of Groups |
|
Tang Zenglin, Li Shirong
|
| (Dept. of Math. & Info. Sci., Guangxi Univ., 100 Daxuelu, Nanning, Guangxi, 530004, China) |
| Abstract: |
| Using the new method and the conception of CI-section,we obtain some new theorems about the solvable,p-solvable and π-solvable of a normal subgroup H of a finite group G.At the same time,some relative previously known results of references[2] are extended. |
| Key words: maximal subgroup CI-section solvable π-solvable |
