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.
出处
《数学杂志》
CSCD
北大核心
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
