RUS  ENG
Full version
JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive
PFMT, 2015 Issue 2(23), Pages 48–52 (Mi pfmt372)
MATHEMATICS

On lattices of generalized subnormal subgroups in finite metanilpotent groups

A. F. Vasil'ev, I. N. Khalimonchik

F. Scorina Gomel State University, Gomel, Belarus

Abstract: The Shemetkov problem about description of hereditary saturated lattice formations and lattice subgroup functors in the class of all finite metanilpotent groups has been solved.

Keywords: finite group, lattice formation, lattice subgroup functor, $\mathfrak{F}$-subnormal subgroup.

UDC: 512.542

Received: 11.02.2015


© Steklov Math. Inst. of RAS, 2024