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Vasil'ev, Alexander Fedorovich
Statistics Math-Net.Ru
Total publications: 39
Scientific articles: 36

Number of views:
This page:10143
Abstract pages:13288
Full texts:4888
References:2173
Professor
Doctor of physico-mathematical sciences (2007)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 14.10.1956
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.

Biography

Graduated from Faculty of Mathematics of Gomel State University (GSU) in 1979 (department of algebra and geometry). Ph.D. thesis was defended in 1987. A list of my works contains more than 65 titles.
   
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.

https://www.mathnet.ru/eng/person17805
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/219829
https://orcid.org/0000-0002-0874-3357

Publications in Math-Net.Ru Citations
2024
1. Yu. V. Nikitjuk, A. F. Vasilyev, L. N. Marchenko, J. Ma, L. Wang, Y. Qin, I. Yu. Aushev, “Determination of parameters for controlled laser cleaving of silicate glasses using regression, neural network and fuzzy models”, PFMT, 2024, no. 2(59),  32–38  mathnet
2022
2. A. F. Vasil'ev, V. I. Murashka, A. K. Furs, “Finite Groups with Three Nonconjugate Maximal Formational Subgroups”, Mat. Zametki, 111:3 (2022),  354–364  mathnet  mathscinet; Math. Notes, 111:3 (2022), 356–363  scopus 1
3. A. F. Vasil'ev, “On finite groups with semisubnormal residuals of Sylow normalizers”, PFMT, 2022, no. 2(51),  58–62  mathnet 1
4. A. F. Vasil'ev, V. I. Murashka, A. K. Furs, “On the Hawkes graphs of finite groups”, Sibirsk. Mat. Zh., 63:5 (2022),  1010–1026  mathnet; Siberian Math. J., 63:5 (2022), 849–861 1
2021
5. A. F. Vasil'ev, “On radicals of factorized finite $\mathfrak{X}$-groups”, PFMT, 2021, no. 4(49),  69–75  mathnet
2020
6. 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  mathnet  mathscinet  elib; Math. Notes, 108:5 (2020), 661–670  isi  scopus 3
7. A. F. Vasil'ev, V. I. Murashka, “Formations and Products of $\mathrm F(G)$-Subnormal Subgroups of Finite Solvable Groups”, Mat. Zametki, 107:3 (2020),  376–390  mathnet  mathscinet  elib; Math. Notes, 107:3 (2020), 413–424  isi  scopus 7
8. A. F. Vasil'ev, “On products of generalized abnormal supersoluble subgroups of finite groups”, PFMT, 2020, no. 2(43),  52–57  mathnet
2019
9. A. F. Vasil'ev, A. G. Melchenko, “Finite groups with absolutely formationally subnormal Sylow subgroups”, PFMT, 2019, no. 4(41),  44–50  mathnet 1
10. A. F. Vasilyev, V. I. Murashka, “Arithmetic graphs and classes of finite groups”, Sibirsk. Mat. Zh., 60:1 (2019),  55–73  mathnet  elib; Siberian Math. J., 60:1 (2019), 41–55  isi  scopus 13
2018
11. A. F. Vasil'ev, “Finite groups with strongly $\mathrm{K}$-$\mathfrak{F}$-subnormal Sylow subgroups”, PFMT, 2018, no. 4(37),  66–71  mathnet 2
12. 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  mathnet  elib; Siberian Math. J., 59:1 (2018), 50–58  isi  scopus 3
2017
13. 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  mathnet; Russian Math. (Iz. VUZ), 61:6 (2017), 6–12  isi  scopus 1
14. A. F. Vasil'ev, T. I. Vasil'eva, K. L. Parfiankou, “On finite groups with given triple factorization”, PFMT, 2017, no. 3(32),  43–47  mathnet
2016
15. E. N. Myslovets, A. F. Vasil'ev, “Finite generalized $c$-supersoluble groups and their mutually permutable products”, PFMT, 2016, no. 2(27),  45–53  mathnet 1
16. A. F. Vasil'ev, T. I. Vasil'eva, E. N. Myslovets, “On finite groups with a given normal structure”, Sib. Èlektron. Mat. Izv., 13 (2016),  897–910  mathnet 2
17. 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  mathnet  mathscinet  elib; Siberian Math. J., 57:3 (2016), 476–485  isi  scopus 3
18. 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  mathnet  mathscinet  elib; Siberian Math. J., 57:2 (2016), 200–212  isi  scopus 17
2015
19. A. F. Vasil'ev, V. I. Murashka, “On the influence of the fitting subgroup on the products of finite soluble groups”, PFMT, 2015, no. 4(25),  59–63  mathnet
20. A. F. Vasil'ev, I. N. Khalimonchik, “On lattices of generalized subnormal subgroups in finite metanilpotent groups”, PFMT, 2015, no. 2(23),  48–52  mathnet
2014
21. 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  mathnet  mathscinet  zmath  elib; Math. Notes, 95:4 (2014), 471–480  isi  scopus 16
22. 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  mathnet  mathscinet; Siberian Math. J., 55:2 (2014), 230–238  isi  scopus 5
2013
23. A. F. Vasil'ev, V. A. Vasil'ev, T. I. Vasil'eva, “Permuteral subgroups and their applications in finite groups”, PFMT, 2013, no. 2(15),  35–38  mathnet
24. A. F. Vasil'ev, I. N. Khalimonchik, “On subgroup lattices of subnormal type in finite groups”, Tr. Inst. Mat., 21:1 (2013),  25–34  mathnet 1
2012
25. A. F. Vasil'ev, T. I. Vasilyeva, A. V. Syrokvashin, “A note on intersections of some maximal subgroups of finite groups”, PFMT, 2012, no. 2(11),  62–64  mathnet 9
26. 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  mathnet  mathscinet; Siberian Math. J., 53:1 (2012), 47–54  isi  scopus 37
2011
27. A. F. Vasil'ev, T. I. Vasilyeva, “On finite groups with generally subnormal sylow subgroups”, PFMT, 2011, no. 4(9),  86–91  mathnet 12
2010
28. A. F. Vasil'ev, T. I. Vasilyeva, V. N. Tyutyanov, “On finite groups similar to supersoluble groups”, PFMT, 2010, no. 2(3),  21–27  mathnet 10
29. 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  mathnet  mathscinet; Siberian Math. J., 51:6 (2010), 1004–1012  isi  scopus 78
2009
30. A. F. Vasil'ev, T. I. Vasilyeva, “Recursively recognizable local formations of finite groups”, PFMT, 2009, no. 1(1),  44–50  mathnet 2
2008
31. A. F. Vasil'ev, I. N. Khalimonchik, “On hyperradical formations of finite groups”, Tr. Inst. Mat., 16:1 (2008),  9–12  mathnet 1
2006
32. A. F. Vasil'ev, “Оn the intersection of the factors for finite soluble products of groups”, Tr. Inst. Mat., 14:2 (2006),  20–27  mathnet 1
2002
33. A. F. Vasil'ev, S. F. Kamornikov, “The Kegel – Shemetkov Problem on Lattices of Generalized Subnormal Subgroups of Finite Groups”, Algebra Logika, 41:4 (2002),  411–428  mathnet  mathscinet  zmath; Algebra and Logic, 41:4 (2002), 228–236  scopus 9
2001
34. A. F. Vasil'ev, S. F. Kamornikov, “On the functorial method for studying the lattices of subgroups of finite groups”, Sibirsk. Mat. Zh., 42:1 (2001),  30–40  mathnet  mathscinet  zmath; Siberian Math. J., 42:1 (2001), 25–33  isi 8
1997
35. 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  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 41:11 (1997), 8–12 27
36. A. F. Vasil'ev, “A problem in the theory of formations of finite groups”, Mat. Zametki, 62:1 (1997),  52–58  mathnet  mathscinet  zmath; Math. Notes, 62:1 (1997), 44–49  isi 3
2013
37. A. N. Skiba, V. S. Monakhov, M. V. Selkin, N. T. Vorob'ev, V. N. Semenchuk, A. F. Vasil'ev, “Leonid Shemetkov. His entire life devotion”, Algebra Discrete Math., 15:2 (2013),  155–160  mathnet  mathscinet
38. O. O. Bezushchak, Yu. V. Bodnarchuk, V. M. Bondarenko, Ye. V. Bondarenko, N. S. Chernikov, Yu. A. Drozd, N. S. Golovashchuk, V. V. Kirichenko, L. A. Kurdachenko, Ya. V. Lavrenyuk, F. M. Lyman, V. V. Lyubashenko, V. S. Monakhov, A. S. Oliynyk, B. V. Oliynyk, S. A. Ovsienko, A. P. Petravchuk, M. V. Selkin, V. N. Semenchuk, M. M. Semko, A. N. Skiba, I. Ya. Subbotin, V. I. Sushchanskiy, Ya. P. Sysak, A. F. Vasil'ev, N. T. Vorob'ev, “Leonid Aleksandrovich Shemetkov (3.07.1937–24.03.2013)”, Algebra Discrete Math., 15:2 (2013),  C–D  mathnet
2012
39. M. V. Sel'kin, A. N. Skiba, V. S. Monakhov, V. N. Semenchuk, A. F. Vasil'ev, “Научная школа профессора Л.А. Шеметкова”, PFMT, 2012, no. 2(11),  112–113  mathnet

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