On σ-Subnormal Subgroups of Finite Groups

Сибирский математический журнал

article

S. F. Kamornikov¹  V. N. Tyutyanov² 

[1] F. Skorina Gomel State University;MITSO International University

关键词: finite group;    σ-subnormal subgroup;    Hall subgroup;    complete Hall set;   

DOI  :  10.1134/S0037446620020093

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

Let p be a prime and let σ = {{p}, {p}′} be a partition of the set ℙ of all primes. We prove the following conjecture by Skiba: If each complete Hall set of type σ in a finite group G is reducible to some subgroup H of G then H is σ-subnormal in G.

【 授权许可】

CC BY