On Shemetkov’s Theorem About The Complementedness of the Residual

Сибирский математический журнал

S. F. Kamornikov¹  X. Yi² 

[1] F. Skorina Gomel State University;Zhejiang Sci-Tech University Hangzhou

关键词: finite group;    formation;    GWP-formation;    complement;    residual;    F-subnormality;   

DOI  :  10.1134/S0037446618020106

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

A formation F of finite groups is called a GWP-formation if the F-residual of the group generated by two F-subnormal subgroups is the subgroup generated by their F-residuals. The main aim of the article is to find some sufficient conditions for a finite group to split over its F-residual.

【 授权许可】

CC BY