M. N. Konovalova, V. S. Monakhov, “Finite groups with some subnormal 2-maximal subgroups”, PFMT, 2020, Issue 2(43),Pages <nobr>75

This article is cited in 2 papers

MATHEMATICS

Finite groups with some subnormal 2-maximal subgroups

M. N. Konovalova^a, V. S. Monakhov^b

^a Russian Presidential Academy of National Economy and Public Administration, Bryansk
^b F. Scorina Gomel State University

Abstract: A finite group $G$ such that in every maximal subgroup of $G$ there is a subnormal in $G$ subgroup is studied. In particular, we proved that the derived subgroup of $G$ is nilpotent.

Keywords: finite group, subnormal subgroup, 2-maximal subgroup.

UDC: 512.542

Received: 14.02.2020