The constructive description of the finite subdirect products of groups and as a consequence the description of subgroups of finite direct products of groups was formulated. Thus, the Kurosh problem in the case with finite number of direct factors was solved; closeness of class $E_{\pi}$ concerning finite subdirect products on the Schreier module was determined; the local products of nonlocal formations were built; the theory of foliated and fibered formations (with M. M. Sorokina) was developed.
Biography
Graduated from Faculty of Mathematics and Physics of Orsk State Pedagogical Institute in 1962. Ph.D. thesis was defended in 1968. D.Sci. thesis was defended in 1994. A list of my works contains more than 70 titles.
Main publications:
Vedernikov V. A. Maximal satellites of $\Omega$-foliated formations and Fitting classes // Proc. of the Steklov Institute of Math., 2001(2), 217–233.
E. N. Bazhanova, V. A. Vedernikov, “Finite groups with $p$-nilpotent or $\Phi$-simple maximal subgroups”, Sibirsk. Mat. Zh., 63:1 (2022), 23–41; Siberian Math. J., 63:1 (2022), 19–33
E. N. Bazhanova, V. A. Vedernikov, “Finite groups with prescribed $\Phi$-simple maximal subgroups”, Sibirsk. Mat. Zh., 62:6 (2021), 1215–1230; Siberian Math. J., 62:6 (2021), 981–993
V. A. Vedernikov, “Nonsolvable finite groups whose all nonsolvable superlocals are hall subgroups”, Sibirsk. Mat. Zh., 61:5 (2020), 979–999; Siberian Math. J., 61:5 (2020), 778–794
E. N. Bazhanova, V. A. Vedernikov, “Direct decompositions of $\omega$-foliated fitting classes of multioperator $t$-groups”, Sibirsk. Mat. Zh., 61:2 (2020), 283–296; Siberian Math. J., 61:2 (2020), 222–232
2017
5.
E. N. Bazhanova, V. A. Vedernikov, “$\Omega$-Foliated Fitting classes of $T$-groups”, Sib. Èlektron. Mat. Izv., 14 (2017), 629–639
V. A. Vedernikov, M. M. Sorokina, “The $\mathfrak F^\omega$-normalizers of finite groups”, Sibirsk. Mat. Zh., 58:1 (2017), 64–82; Siberian Math. J., 58:1 (2017), 49–62
V. A. Vedernikov, M. M. Sorokina, “$\mathfrak F$-projectors and $\mathfrak F$-covering subgroups of finite groups”, Sibirsk. Mat. Zh., 57:6 (2016), 1224–1239; Siberian Math. J., 57:6 (2016), 957–968
V. A. Vedernikov, “Sylow properties of finite groups”, Tr. Inst. Mat., 21:1 (2013), 40–47
11.
V. A. Vedernikov, “Finite groups in which every nonsolvable maximal subgroup is a Hall subgroup”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:3 (2013), 71–82; Proc. Steklov Inst. Math. (Suppl.), 285, suppl. 1 (2014), S191–S202
V. A. Vedernikov, E. N. Demina, “$\Omega$-foliated formations of multioperator $T$-groups”, Sibirsk. Mat. Zh., 51:5 (2010), 990–1009; Siberian Math. J., 51:5 (2010), 789–804
V. A. Vedernikov, N. V. Yakubovskij, “Schmidt Modules and Some of Their Applications”, Mat. Zametki, 84:5 (2008), 681–692; Math. Notes, 84:5 (2008), 636–645
15.
V. A. Vedernikov, G. V. Savicheva, “Primary graded groups with systems of complemented subgroups”, Sibirsk. Mat. Zh., 49:3 (2008), 515–527; Siberian Math. J., 49:3 (2008), 408–417
2007
16.
V. A. Vedernikov, “Finite groups with subnormal Schmidt subgroups”, Algebra Logika, 46:6 (2007), 669–687; Algebra and Logic, 46:6 (2007), 363–372
V. A. Vedernikov, G. V. Savicheva, “On finite groups close to completely factorisable groups”, Diskr. Mat., 19:2 (2007), 78–84; Discrete Math. Appl., 17:3 (2007), 261–267
V. A. Vedernikov, M. M. Sorokina, “$\omega$-Fibered Formations and Fitting Classes of Finite Groups”, Mat. Zametki, 71:1 (2002), 43–60; Math. Notes, 71:1 (2002), 39–55
V. A. Vedernikov, M. M. Sorokina, “$\Omega$-foliated formations and Fitting classes of finite groups”, Diskr. Mat., 13:3 (2001), 125–144; Discrete Math. Appl., 11:5 (2001), 507–527
V. A. Vedernikov, D. G. Koptyukh, “Compositional formations of $c$-length 3”, Diskr. Mat., 13:1 (2001), 119–131; Discrete Math. Appl., 11:2 (2001), 199–211
V. A. Vedernikov, “Subdirect products of finite groups with Hall $\pi$-subgroups”, Mat. Zametki, 59:2 (1996), 311–314; Math. Notes, 59:2 (1996), 219–221
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