Speciality:
01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
06.05.1958
E-mail: Keywords: finite groups; partially solvable groups; Sylow properties; products of subgroups; formations; Schunck classes.
Subject:
The conditions of the existence and the conjugacy of $\frak{X}$-covering subgroups in finite $\pi$-soluble group for Schunck class $\frak{X}$ were obtained. In a number of papers (with A. F. Vasil'ev) the new properties of formation of all finite groups having chief series with simple factors were proved; Schunck classes $\frak{X}$ and local formations $\frak{F}$ of finite soluble groups with the condition that $\frak{X}$ contains each group $G=AB=BC=CA$, where $A\in\frak{X}\cap\frak{F}$, $B\in\frak{X}\cap\frak{F}$ and $C\in\frak{X}$, were investigated; a new characterization of finite metanilpotent groups was obtained: a finite group $G$ is metanilpotent if and only if every subformations of $form G$ is abnormally hereditary.
Main publications:
Vasileva T. I. Konechnye $\pi$-razreshimye gruppy i ikh proektory // Doklady AN BSSR, 1985, 29 (3), 197–200.
Vasileva T. I. O vnutrennikh proektorakh $\pi$-razreshimykh grupp // Arifmeticheskoe i podgruppovoe stroenie konechnykh grupp. Minsk: Nauka i tekhnika, 1986, 7–13.
Vasileva T. I. O $\pi$-klassakh i proektorakh rasshirenii konechnykh$\pi$-razreshimykh grupp // Voprosy algebry. Minsk: Universitetskoe, 1990, 63–69.
Vasilev A. F., Vasileva T. I. O konechnykh gruppakh, u kotorykh glavnye faktory yavlyayutsya prostymi gruppami // Izvestiya vuzov. Matematika, 1997, 426 (11), 10–14.
Vasilev A. F., Vasileva T. I. O trizhdy faktorizuemykh konechnykh razreshimykh gruppakh // Vestsi AN Belarusi. Ser. fiz.-mat. n., 1997, 2, 36–39.
