Finitely solvable groups with nilpotent wide subgroups

  • V. S. Monakhov
  • I. L. Sokhor


A subgroup $H$ of a finite group $G$ is called wide if each prime divisor of the order of $G$ divides the order of $H$. We obtain a description of finite solvable groups without wide subgroups. It is shown that a finite solvable group with nilpotent wide subgroups contains a quotient group with respect to the hypercenter without wide subgroups.
How to Cite
Monakhov, V. S., and I. L. Sokhor. “Finitely Solvable Groups With Nilpotent Wide Subgroups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, no. 7, July 2016, pp. 957-62,
Research articles