On the Characterization of the Core of a π-Prefrattini Subgroup of a Finite Soluble Group

Сибирский математический журнал

S. F. Kamornikov¹  X. Yi² 

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

关键词: finite group;    soluble group;    π-prefrattini subgroup;    Hall subgroup;    Frattini subgroup;   

DOI  :  10.1134/S0037446619010063

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

Let π be a set of primes and let H be a π-prefrattini subgroup of a finite soluble group G. We prove that there exist elements x, y, z ∈ G such that H ∩ Hx ∩ Hy ∩ Hz = Φπ(G).

【 授权许可】

CC BY