摘要
利用弱s-置换子群的概念,研究了弱s-置换子群对有限群可解性的影响,得到了有限群可解的2个充要条件.
Using the conception of weakly s-permutable subgroup of finite groups,the influence of weakly s-permutable subgroups on the solubility of finite groups was discussed,two necessary and sufficient conditions of soluble groups was obtained.
出处
《高师理科学刊》
2010年第3期1-3,共3页
Journal of Science of Teachers'College and University
基金
国家自然科学基金资助项目(10771180)
关键词
有限群
弱s-置换子群
极大子群
可解群
finite group
weakly s-permutable subgroup
maximal subgroup
soluble group