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.
Biography
Graduated from Faculty of Mathematics of Gomel State University (GSU) in 1980 (department of algebra and geometry). Ph.D. thesis was defended in 1990. A list of my works contains more than 45 titles.
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.
T. I. Vasilyeva, “On some groups from the formation of supersoluble finite groups”, PFMT, 2024, no. 2(59), 64–69
2023
2.
T. I. Vasilyeva, A. G. Koranchuk, “On Finite Groups with $\mathbb{P}_{\pi}$-Subnormal Subgroups”, Mat. Zametki, 114:4 (2023), 483–496; Math. Notes, 114:4 (2023), 421–432
3.
T. I. Vasilyeva, A. G. Koranchuk, “On $\pi$-supersolvability of finite groups”, PFMT, 2023, no. 1(54), 69–74
2022
4.
T. I. Vasilyeva, A. G. Koranchuk, “Finite groups with subnormal residuals of Sylow normalizers”, Sibirsk. Mat. Zh., 63:4 (2022), 805–813; Siberian Math. J., 63:4 (2022), 670–676
T. I. Vasilyeva, “Subgroups of the Fan of Sylow Subgroups and the Supersolvability of a Finite Group”, Mat. Zametki, 110:2 (2021), 192–203; Math. Notes, 110:2 (2021), 186–195
A. F. Vasil'ev, T. I. Vasilyeva, A. G. Koranchuk, “Finite Groups with Formation Subnormal Normalizers of Sylow Subgroups”, Mat. Zametki, 108:5 (2020), 679–691; Math. Notes, 108:5 (2020), 661–670
T. I. Vasilyeva, A. G. Koranchuk, “On one operation on the formations of finite groups”, PFMT, 2020, no. 2(43), 58–63
2019
8.
T. I. Vasilyeva, “On the intersections of generalized projectors with the products of normal subgroups of finite groups”, PFMT, 2019, no. 2(39), 61–65
9.
T. I. Vasilyeva, “On $\omega$-Schunck classes and generalized projectors of finite groups”, Tr. Inst. Mat., 27:1-2 (2019), 13–22
2018
10.
T. I. Vasilyeva, S. V. Balychev, “On the influence of $k$-primary Hall subgroups on the structure of finite soluble groups”, PFMT, 2018, no. 1(34), 55–60
A. F. Vasil'ev, T. I. Vasil'eva, K. L. Parfenkov, “Finite groups with three given subgroups”, Sibirsk. Mat. Zh., 59:1 (2018), 65–77; Siberian Math. J., 59:1 (2018), 50–58
A. F. Vasil'ev, T. I. Vasil'eva, D. N. Simonenko, “On $MP$-closed saturated formations of finite groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 6, 9–17; Russian Math. (Iz. VUZ), 61:6 (2017), 6–12
A. F. Vasil'ev, T. I. Vasil'eva, E. N. Myslovets, “Finite widely $c$-supersoluble groups and their mutually permutable products”, Sibirsk. Mat. Zh., 57:3 (2016), 603–616; Siberian Math. J., 57:3 (2016), 476–485
A. F. Vasil'ev, T. I. Vasil'eva, A. S. Vegera, “Finite groups with generalized subnormal embedding of Sylow subgroups”, Sibirsk. Mat. Zh., 57:2 (2016), 259–275; Siberian Math. J., 57:2 (2016), 200–212
A. F. Vasil'ev, T. I. Vasilyeva, V. N. Tyutyanov, “On $\mathrm K$-$\mathbb P$-Subnormal Subgroups of Finite Groups”, Mat. Zametki, 95:4 (2014), 517–528; Math. Notes, 95:4 (2014), 471–480
A. F. Vasil'ev, V. A. Vasil'ev, T. I. Vasil'eva, “On permuteral subgroups in finite groups”, Sibirsk. Mat. Zh., 55:2 (2014), 285–295; Siberian Math. J., 55:2 (2014), 230–238
A. F. Vasil'ev, T. I. Vasil'eva, V. N. Tyutyanov, “On the products of $\mathbb P$-subnormal subgroups of finite groups”, Sibirsk. Mat. Zh., 53:1 (2012), 59–67; Siberian Math. J., 53:1 (2012), 47–54
A. F. Vasil'ev, T. I. Vasil'eva, V. N. Tyutyanov, “On the finite groups of supersoluble type”, Sibirsk. Mat. Zh., 51:6 (2010), 1270–1281; Siberian Math. J., 51:6 (2010), 1004–1012
A. F. Vasil'ev, T. I. Vasilyeva, “On finite groups whose principal factors are simple groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 11, 10–14; Russian Math. (Iz. VUZ), 41:11 (1997), 8–12
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