Finite groups with semi-subnormal Schmidt subgroups

• Date: 2020
• Main Authors: Kniahina, V. N., Monakhov, V. S.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2020
• Subjects: finite soluble group; Schmidt subgroup; semi-normal subgroup; subnormal subgroup; 20E28; 20E32; 20E34
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1376
• Journal Title: Algebra and Discrete Mathematics

A Schmidt group is a non-nilpotent group in which every proper subgroup is nilpotent. A subgroup \(A\) of a group \(G\) is semi-normal in \(G\) if there exists a subgroup \(B\) of \(G\) such that \(G=AB\) and \(AB_1\) is a proper subgroup of \(G\) for every proper subgroup \(B_1\) of \(B\). If \(A\)...