Finite Groups with P-Subnormal Schmidt Subgroups

被引：0

作者：

Yi, Xiaolan ^{[1
]}

Xu, Zhuyan ^{[1
]}

Kamornikov, S. F. ^{[2
]}

机构：

[1] Zhejiang Sci Tech Univ, Hangzhou 310018, Peoples R China

[2] Francisk Skorina Gomel State Univ, Gomel 246019, BELARUS

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2024年 / 325卷 / SUPPL 1期

基金：

中国国家自然科学基金;

关键词：

finite group; P-subnormal subgroup; Schmidt subgroup; saturated Fitting formation;

D O I：

10.1134/S0081543824030179

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A subgroup H of a group G is called P-subnormal in G whenever either H = G or there is a chain of subgroups H = H-0 subset of H-1 subset of...subset of H-n = G such that |H-i:Hi-1| is a prime for every i = 1, 2, ..., n. We study the structure of a finite group G all of whose Schmidt subgroups are P-subnormal. The obtained results complement the answer to Problem 18.30 in the Kourovka Notebook..

引用

页码：S231 / S238

页数：8

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