MATHEMATICS

Finite groups with subnormal derived subgroups of $B$-groups

V. N. Kniahina

Francisk Skorina Gomel State University

Abstract: A finite non-nilpotent group $G$ is called $B$-group if every proper subgroup of the quotient group $G /\Phi(G)$ is nilpotent. In this paper, it is established that the metanilpotency of a finite group for which the derived subgroup of each $B$-subgroup is subnormal.

Keywords: finite group, $B$-group, subnormal subgroup, derived subgroup.

UDC: 512.542

Received: 01.07.2021

DOI: 10.54341/20778708_2021_3_48_73