On one generalization of finite $\mathfrak{U}$-critical groups

Vladimir N. Semenchuk, Alexander N. Skiba

A proper subgroup $H$ of a group $G$ is said to be: $\mathbb{P}$-subnormal in $G$ if there exists a chain of subgroups $H=H_0<H_1<...<H_n=G$ such that $|H_i:H_{i-1}|$ is a pr…