Speciality:
01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
14.10.1956
Phone: +375 (0232) 57 37 91
E-mail: Keywords: finite groups; factorizations and multifactorizations of finite groups; lattices of subgroups; formations; Fitting formations.
UDC: 512.542.2, 512.542.4, 512.542.6, 512.542 MSC: 20D10, 20D30, 20D40
Subject:
The problem on the extension of the Carter, Fisher, Hawkes method of extremal classes to arbitrary finite groups was solved. An example of local formation of finite groups with non-local maximal subgroup-closed subformation was constructed. The Kegel–Shemetkov problem on description of subgroup-closed local formations of finite groups with lattice property was solved (with S. F. Kamornikov and V. N. Semenchuk). A notion of the natural transitive lattice subgroup functor was introduced. All the lattices of subgroups induced by such functors in finite soluble groups were described (with S. F. Kamornikov). A constructive description of subgroup-closed formations of finite soluble groups with the Kegel property was obtained.
Main publications:
Vasilev A. F. O probleme perechisleniya lokalnykh formatsii s zadannym svoistvom // Voprosy algebry, Minsk: Universitetskoe, 1987, 3–11.
Vasilev A. F., Kamornikov S. F., Semenchuk V. N. O reshetkakh podgrupp konechnykh grupp // Beskonechnye gruppy i primykayuschie algebraicheskie struktury, Kiev: In-t matematiki, 1993, 27–54.
Vasilev A. F. Ob odnom voprose teorii formatsii konechnykh grupp // Vestsi AN Belarusi. Ser.fiz.-mat. n., 1994, 3, 121–122.
Vasilev A. F. Odna zadacha teorii formatsii konechnykh grupp // Matem. zametki, 1997, 62(1), 52–58.
Vasilev A. F., Kamornikov S. F. O funktornom metode izucheniya reshetok podgrupp konechnykh grupp // Sib. matem. zhurn., 2001, 42(1), 30–40.
