摘要
利用Sylow子群及其极大子群在有限群G中完全条件置换得出了G超可解的结论,并把结果推广到群系中,得到了包含超可解群类的饱和群系的充分条件,推广了一些已知结果。
By using the completely conditional permutability of the Sylow subgroups and its maximal subgroups of finite group G, the sufficient conditions for a finite group G to be supersolvable are proved and the results are generalized to formations. Moreover, the sufficient condition for a saturated formation containing the class of all finite supersolvable groups is also obtained, and some known results are generalized.
出处
《北京联合大学学报》
CAS
2012年第1期70-72,共3页
Journal of Beijing Union University
基金
安徽财经大学校级科研项目(ACKYQ1152ZC)
安徽省高校人文社科项目(2011SK166)
安徽省高校人文社科项目(2011SK177)
关键词
完全条件置换子群
SYLOW子群
极大子群
超可解群
Completely conditionally permutable subgroup
Sylow subgroup
Maximal subgroup
Supersolvablegroup