子群的S-半置换性与有限群的p-超可解性  

S-Semipermutability of Subgroups and p-Supersolubility of a Finite Group

作　　者：邱正添 乔守红[1] Qiu Zheng-tian;Qiao Shou-hong(School of Applied Mathematics,Guangdong University of Technology,Guangzhou 510520,China)

机构地区：[1]广东工业大学应用数学学院,广东广州510520

出　　处：《广东工业大学学报》2020年第4期65-68,共4页Journal of Guangdong University of Technology

摘　　要：令G为有限群,H是G的子群。称H是G的S-半置换子群,如果对G的任意Sylow p-子群Gp,满足(p,|H|)=1,都有HGp=GpH。本文主要探讨子群的S-半置换性对有限群的p-超可解性的影响,给出了一些关于有限群的p-超可解性的判定条件,并对已知的结果进行了推广。Let G be a finite group,H is a subgroup of G.H is S-semipermutable in G,if HGp=GpH for any prime divisor p of|G|and Sylow p-subgroup Gp with(p,|H|)=1.The influence of the S-semipermutability of subgroups on the p-supersolubility of a finite group is investigated.Some interesting results are obtained which generalize some known results.

关 键 词：有限群 P-超可解群 S-半置换子群 

分 类 号：O152[理学—数学]