极小非MSSP-群的分类(英文)  

A CLASSIFICATION OF MINIMAL NON-MSSP-GROUPS

作　　者：郭鹏飞[1,2] 艾玉波[1] 王俊新[3] 

机构地区：[1]连云港师范高等专科学校数学系,江苏连云港222006 [2]上海大学上海市应用数学和力学研究所,上海200072 [3]山西财经大学数学系,山西太原030031

出　　处：《数学杂志》2012年第6期1005-1010,共6页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11071155);the Overseas Study Project of Jiangsu Province for Outstanding Young and Middle-aged Teachers and Principals of Colleges and Universities([2011]34);Qing Lan Project of Jiangsu Province

摘　　要：本文研究了一类有限极小非Σ-群.利用群G的每个Sylow子群的极小子群的s-半置换性对G的结构影响,获得了一类新的极小非Σ-群的分类,推广了极小非Σ-群部分研究成果.In this paper,we investigate the structure of a kind of finite minimal non-Σgroups.By analyzing the s-semipermutability of all minimal subgroups of the Sylow subgroups of a group G,we obtain a classification of a new kind of minimal non-Σ-groups,which generalizes some achievements of minimal non-Σ-groups.

关 键 词：MSSP-群 极小非MSSP-群 超可解群 幂自同构 

分 类 号：O152.1[理学—数学]