摘要
利用Sylow子群的循环正规子群的s-半置换性得到有限群为p-幂零群的一些充分条件.
Let G be a finite gtoup.A subgroup H of a group G is called semipermutable if it is permutable with every subgroups K of G with(|H|,|K|)=1,and s-semipermutable if it is permutable with every Sylowp-subgroups of G with(p,|G|)=1.The influence of s-semipermutablity of subgroups of Sylow subgroup of a finite group on its p-nilpottence are investigated.
出处
《哈尔滨师范大学自然科学学报》
CAS
2010年第2期10-11,18,共3页
Natural Science Journal of Harbin Normal University
基金
黑龙江省教育厅科学技术研究项目(11531247)
关键词
S-半置换子群
循环子群
P-幂零群
s-semipermutable subgroups
Abelian group
p-nilpotentgroups