Finite groups with given systems of $K-\mathfrak{U}$-subnormal subgroups

• Date: 2016
• Main Authors: Kovaleva, V. A., Ковалева, В. А.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1821
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A subgroup $H$ of a finite group $G$ is called $\mathfrak{U}$-subnormal in Kegel’s sense or $K-\mathfrak{U}$-subnormal in $G$ if there exists a chain of subgroups $H = H_0 \leq H_1 \leq . . . \leq H_t = G$ such that either $H_{i-1}$ is normal in $H_i$ or $H_i/(H_{i-1})H_i$ is supersoluble for any...