finite simple and almost simple groups,
groups of Lie type,
linear algebraic groups.
Subject:
The classification of Abelian and nilpotent subgroups of all finite simple groups, except sporadic, is completed. We found orders, structure, and classes of Abelian and nilpotent subgroups of maximal orders. The classification of Abelian subgroups of maximal order in unipoted subgroups of groups of Lie type, started by Barry and Wong, is completed. We found orders, structure, and classes. We also gave clear uniform way of finding abelian unipotent subgroups of maximal order in all groups of Lie type. Togeather with D. O. Revin the classification of finite $E_\pi$ and $D_\pi$ groups is completed. Togeather with M. C. Tamburini significant progress in solving problem on conjugacy of Carter subgroups in finite groups is obtained.
Biography
22.05.1976З. I was born.
1993 Entered the Mechanics and Mathematics Department of the Novosibirsk State University.
1997 Graduated from MMD NSU, entered the second level (magister degree) of MMD NSU. Began to teach algebra for the first year students of MMD NSU.
1999 Graduated from the second level (magister degree) of MMD NSU, became a PhD student of the S.L.Sobolev's Institute of Mathematics SB RAS.
2000 Awarded kandidate of phisics and mathematics (PhD degree in phisics and mathematics), the title of the thesis is "Abelian and nilpotent subgroups of maximal order of finite simple groups".
01.01.2001-31.08.2001 Began to work in IM SB RAS as a high engineer, than as a senior research fellow.
01.09.2001-31.05.2004 Post-Doctoral grant in the University of Padua (Italy). Worked with Professor Federico Menegazzo and Professor Maria Clara Tamburini.
01.06.2004-present I work in IM SB RAS as a senior research fellow of the laboratory of the Theory of groups, teach algebra for the first year students of MMD NSU, and make lectures "Linear algebraic groups". I am a secreter of the algebra and mathematical logic chair of MMD NSU.
I took part in more than 20 conferences, I've made 10 penary talks.
2007 Awarded Doctor of phisics and mathematics, the title of the thesis is "Carter subgroups of finite groups".
Main publications:
W. Guo, E. P. Vdovin, “Carter subgroups and Fitting heights of finite groups”, Archiv der Mathematik, 110:5 (2018), 427–432
W. Guo, E. P. Vdovin, “Number of Sylow subgroups in finite groups”, Journal of Group Theory, 21:4 (2018), 695–712
W. Guo, D. O. Revin, E. P. Vdovin, “Confirmation for Wielandts conjecture”, Journal of Algebra, 434 (2015), 193–206
E. P. Vdovin, “The structure of groups possessing Carter subgroups of odd order”, Algebra and Logic, 54:2 (2015), 105–107
E. P. Vdovin, “Groups of induced automorphisms and their application to studying the existence problem for Hall subgroups”, Algebra and Logic, 53:5 (2014), 418–421
D. O. Revin, E. P. Vdovin, “Frattini argument for Hall subgroups”, Journal of Algebra, 414:1 (2014), 95–104
I. P. Ivanov, E. P. Vdovin, “Classification of finite reparametrization symmetry groups in the three-Higgs-doublet model”, The European Phisical Journal C, 73 (2013), 2309, 25 pp.
E. P. Vdovin, “On intersection of solvable Hall subgroups in finite simple exceptional groups of Lie type”, Proc. Steklov Inst. Math. (Suppl.), 285, suppl. 1 (2014), S183–S190
E. P. Vdovin, “On the base size of a transitive group with solvable point stabilizer”, Journal of Algebra and its Application, 11:1 (2012), 1250015, 14 pp.
I. P. Ivanov, V. Keus, E. P. Vdovin, “Abelian symmetries in multi-Higgs-doublet models”, J. Phys. A: Math. Theor., 45:12 (2012), 2152001, 29 pp.
A. V. Vasil'ev, E. P. Vdovin, “Cocliques of maximal size in the prime graph of a finite simple group”, Algebra and Logic, 50:4 (2011), 291–322
E. P. Vdovin, D. O. Revin, “Theorems of Sylow type”, Russian Math. Surveys, 66:5 (2011), 829–870
D. O. Revin, E. P. Vdovin, “An existence criterion for Hall subgroups of finite groups”, Journal of Group Theore, 14:1 (2011), 93–101
E. P. Vdovin, D. O. Revin, “A conjugacy criterion for Hall subgroups in finite groups”, Siberian Math. J., 51:3 (2010), 402–409
D. O. Revin, E. P. Vdovin, “On the number of classes of conjugate Hall subgroups in finite simple groups”, Journal of algebra, 324:12 (2010), 3614–3652
E. P. Vdovin, V. I. Zenkov, “On the intersections of solvable Hall subgroups in finite groups”, Proc. Steklov Inst. Math. (Suppl.), 267, suppl. 1 (2009), S234–S243
E. P. Vdovin, A. A. Gal't, “Normalizers of subsystem subgroups in finite groups of Lie type”, Algebra and Logic, 47:1 (2008), 1–17
E. P. Vdovin, “Carter subgroups of finite groups”, Siberian Adv. Math., 19:1 (2009), 24–74
E. P. Vdovin, “Carter subgroups of finite almost simple groups”, Algebra and Logic, 46:2 (2007), 90–119
E. P. Vdovin, “On the existence of Carter subgroups”, Proc. Steklov Inst. Math. (Suppl.), 257, suppl. 1 (2007), S195–S203
E. P. Vdovin, “O probleme sopryazhennosti dlya karterovykh podgrupp”, Sib. matem. zhurn., 47:4 (2006), 725–730
A. V. Vasil'ev, E. P. Vdovin, “An Adjacency Criterion for the Prime Graph of a Finite Simple Group”, Algebra and Logic, 44:6 (2005), 381–406
A. Previtali, M. C. Tamburini, E. P. Vdovin, “The Carter subgroups of some classical groups”, Bulletin of London Mathematical Society, 36:2 (2004), 145–155
E. P. Vdovin, “The number of subgroups with trivial unipotent radicals in finite groups of Lie type”, Journal of Group Theory, 7:1 (2004), 99–112
E. P. Vdovin, D. O. Revin, “Hall subgroups of odd order in finite groups”, Algebra and Logic, 41:1 (2002), 8–29
M. C. Tamburini, E. P. Vdovin, “Carter subgroups in finite groups”, Journal of algebra, 255:1 (2002), 148–163 (to appear)
E. P. Vdovin, “Large Abelian Unipotent Subgroups of Finite Chevalley Groups”, Algebra and Logic, 40:5 (2001), 292–305
E. P. Vdovin, “Maximal Orders of Abelian Subgroups in Finite Chevalley Groups”, Math. Notes, 69:4 (2001), 475–498
E. P. Vdovin, “Large nilpotent subgroups of finite simple groups”, Algebra and Logic, 39:5 (2000), 301–312
E. P. Vdovin, “Maximal orders of abelian subgroups in finite simple groups”, Algebra and logic, 2:2 (1999), 67–83
N. Yang, Zh. Wu, D. O. Revin, E. P. Vdovin, “On the sharp Baer-Suzuki theorem for the $\pi$-radical of a finite group”, Sb. Math., 214:1 (2023), 108–147
2022
2.
Yu. L. Ershov, S. S. Goncharov, V. D. Mazurov, V. G. Bardakov, N. V. Bayanova, V. V. Bludov, L. A. Bokut', S. V. Varaksin, A. V. Vasil'ev, E. P. Vdovin, M. A. Grechkoseeva, A. V. Zenkov, P. S. Kolesnikov, L. L. Maksimova, I. A. Mal'tsev, A. S. Morozov, N. A. Peryazev, A. G. Pinus, K. N. Ponomarev, A. M. Popova, V. N. Remeslennikov, V. A. Roman'kov, N. S. Romanovskii, E. I. Timoshenko, V. A. Churkin, I. P. Shestakov, “In memory of Valeriy Matveevich Kopytov”, Algebra Logika, 61:6 (2022), I–IV
2020
3.
E. P. Vdovin, N. Ch. Manzaeva, D. O. Revin, “On the heritability of the Sylow $\pi$-theorem by subgroups”, Sb. Math., 211:3 (2020), 309–335
4.
L. D. Beklemishev, A. V. Vasil'ev, E. P. Vdovin, S. S. Goncharov, V. V. Kozlov, P. S. Kolesnikov, V. D. Mazurov, Yu. V. Matiyasevich, A. S. Morozov, A. N. Parshin, V. G. Puzarenko, M. V. Schwidefsky, “Yurii Leonidovich Ershov (on his 80th birthday)”, Russian Math. Surveys, 75:3 (2020), 581–585
2019
5.
Alexey Galt, Amit Kulshrestha, Anupam Singh and Evgeny Vdovin, “On Shalev’s conjecture for type An and 2An”, Journal of group theory, 22:4 (2019), 713–728, arXiv: https://arxiv.org/abs/1805.04638
6.
Yu. L. Ershov, S. S. Goncharov, V. D. Mazurov, B. S. Baizhanov, B. Sh. Kulpeshov, P. E. Alaev, A. V. Vasil'ev, E. V. Vasil'ev, E. P. Vdovin, V. V. Verbovskii, A. A. Vikent'ev, D. Yu. Vlasov, M. A. Grechkoseeva, V. N. Zhelyabin, P. S. Kolesnikov, V. M. Kopytov, L. L. Maksimova, I. A. Mal'tsev, A. S. Morozov, A. A. Nikitin, E. V. Ovchinnikova, S. P. Odintsov, D. E. Pal'chunov, N. A. Peryazev, A. G. Pinus, L. N. Pobedin, A. P. Pozhidaev, B. Poizat, V. G. Puzarenko, D. O. Revin, V. N. Remeslennikov, N. S. Romanovskii, A. N. Ryaskin, S. S. Starchenko, A. A. Stepanova, S. V. Sudoplatov, E. I. Timoshenko, D. A. Tusupov, N. G. Khisamiev, V. A. Churkin, Z. Chatzidakis, M. V. Schwidefsky, K. M. Shegirov, I. P. Shestakov, “Evgenii Andreevich Palyutin (1945–2018)”, Sib. Èlektron. Mat. Izv., 16 (2019), 1–10
2018
7.
W. Guo, E. P. Vdovin, “Carter subgroups and Fitting heights of finite groups”, Archiv der Mathematik, 110:5 (2018), 427–432
8.
W. Guo, E. P. Vdovin, “Number of Sylow subgroups in finite groups”, Journal of Group Theory, 21:4 (2018), 695–712
S. S. Goncharov, V. D. Mazurov, L. L. Maksimova, A. S. Morozov, E. P. Vdovin, A. V. Vasil'ev, E. A. Palyutin, A. A. Nikitin, M. V. Schwidefsky, L. A. Bokut', I. P. Shestakov, E. I. Khukhro, “Yurii Leonidovich Ershov (on the occasion of his 75th birthday)”, Sibirsk. Mat. Zh., 56:3 (2015), 477–480
2014
16.
E. P. Vdovin, “Groups of induced automorphisms and their application to studying the existence problem for Hall subgroups”, Algebra and Logic, 53:5 (2014), 418–421
17.
D. O. Revin, E. P. Vdovin, “Frattini argument for Hall subgroups”, Journal of Algebra, 414:1 (2014), 95–104
E. P. Vdovin, D. O. Revin, “Pronormality and strong pronormality of subgroups”, Algebra and Logic, 52:1 (2013), 15–23
19.
E. P. Vdovin, D. O. Revin, “On the pronormality of Hall subgroups”, Siberian Math. J., 54:1 (2013), 22–28
20.
E. P. Vdovin, D. O. Revin, “Non-radicality of the class $E_\pi$-groups”, Tr. Inst. Mat., 21:1 (2013), 35–39
2014
21.
E. P. Vdovin, “On intersection of solvable Hall subgroups in finite simple exceptional groups of Lie type”, Proc. Steklov Inst. Math. (Suppl.), 285, suppl. 1 (2014), S183–S190
2013
22.
I. P. Ivanov, E. P. Vdovin, “Classification of finite reparametrization symmetry groups in the three-Higgs-doublet model”, The European Phisical Journal C, 73 (2013), 2309, 25 pp.
23.
A. V. Vasil'ev, E. P. Vdovin, E. I. Khukhro, “Victor Danilovich Mazurov (on his 70-th birthday)”, Sib. elektron. matem. izv., 10 (2013), 7–12
24.
A. V. Vasil'ev, E. P. Vdovin, E. I. Khukhro, “Viktor Danilovich Mazurov (on the occasion of his 70th birthday)”, Sibirsk. Mat. Zh., 54:1 (2013), 3–7
25.
E. P. Vdovin, D. O. Revin, L. A. Shemetkov, “Formations of finite $C_\pi $-groups”, St. Petersburg Math. J., 24:1 (2013), 29–37
2012
26.
E. P. Vdovin, D. O. Revin, “Pronormality of Hall subgroups in finite simple groups”, Siberian Math. J., 53:3 (2012), 419–430
27.
E. P. Vdovin, “On the base size of a transitive group with solvable point stabilizer”, Journal of Algebra and its Application, 11:1 (2012), 1250015, 14 pp.
I. P. Ivanov, V. Keus, E. P. Vdovin, “Abelian symmetries in multi-Higgs-doublet models”, J. Phys. A: Math. Theor., 45:12 (2012), 2152001, 29 pp.
29.
I. P. Ivanov, E. P. Vdovin, “Discrete symmetries in the three-Higgs-doublet model”, Phys.Rev.D, 86:9 (2012), 095030, 5 pp.
2011
30.
A. V. Vasil'ev, E. P. Vdovin, “Cocliques of maximal size in the prime graph of a finite simple group”, Algebra and Logic, 50:4 (2011), 291–322
31.
E. P. Vdovin, D. O. Revin, “Theorems of Sylow type”, Russian Math. Surveys, 66:5 (2011), 829–870
2012
32.
E. P. Vdovin, N. Ch. Manzaeva, D. O. Revin, “On the heritability of the property $D_\pi$ by subgroups”, Proc. Steklov Inst. Math. (Suppl.), 279, suppl. 1 (2012), 130–138
2011
33.
D. O. Revin, E. P. Vdovin, “An existence criterion for Hall subgroups of finite groups”, Journal of Group Theore, 14:1 (2011), 93–101
D. O. Revin, E. P. Vdovin, “Generalizations of the Sylow theorem”, London Mathematical Society Lecture Notes Series (Groups St Andrews 2009 in Bath), 388, Cambridge University Press, Cambridge, 2011, 488–519
2010
35.
E. P. Vdovin, A. A. Gal't, “Strong reality of finite simple groups”, Siberian Math. J., 51:4 (2010), 610–615
36.
E. P. Vdovin, D. O. Revin, “A conjugacy criterion for Hall subgroups in finite groups”, Siberian Math. J., 51:3 (2010), 402–409
37.
D. O. Revin, E. P. Vdovin, “On the number of classes of conjugate Hall subgroups in finite simple groups”, Journal of algebra, 324:12 (2010), 3614–3652
E. P. Vdovin, V. I. Zenkov, “On the intersections of solvable Hall subgroups in finite groups”, Proc. Steklov Inst. Math. (Suppl.), 267, suppl. 1 (2009), S234–S243
2008
39.
E. P. Vdovin, A. A. Gal't, “Normalizers of subsystem subgroups in finite groups of Lie type”, Algebra and Logic, 47:1 (2008), 1–17
2009
40.
E. P. Vdovin, “Carter subgroups of finite groups”, Siberian Adv. Math., 19:1 (2009), 24–74
2007
41.
E. P. Vdovin, “Carter subgroups of finite almost simple groups”, Algebra and Logic, 46:2 (2007), 90–119
42.
E. P. Vdovin, “Regular orbits of solvable linear $p'$-groups”, Sib. elektron. matem. izv., 4 (2007), 345–360
D. O. Revin, E. P. Vdovin, “Hall subgroups of finite groups”, Contemporary Mathematic (Ischia group theory 2004), 402, Amer. Math. Soc., Providence, RI, 2006, 229–263
A. V. Vasil'ev, E. P. Vdovin, “An Adjacency Criterion for the Prime Graph of a Finite Simple Group”, Algebra and Logic, 44:6 (2005), 381–406
2004
48.
A. Previtali, M. C. Tamburini, E. P. Vdovin, “The Carter subgroups of some classical groups”, Bulletin of London Mathematical Society, 36:2 (2004), 145–155
Обобщения теорем Силова E. P. Vdovin Conference of Professors of the RAS in the Department of Mathematical Sciences of the Russian Academy of Sciences June 15, 2016 11:45
2023
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