On σ-Subnormal Subgroups of Finite Groups

被引：0
|
作者：
S. F. Kamornikov
V. N. Tyutyanov
机构：
[1] F. Skorina Gomel State University,
[2] MITSO International University,undefined
来源：
Siberian Mathematical Journal | 2020年 / 61卷
关键词：
finite group; σ-subnormal subgroup; Hall subgroup; complete Hall set;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：266 / 270
页数：4
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