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
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
2.
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
3.
E. P. Vdovin, D. O. Revin, “Theorems of Sylow type”, Russian Math. Surveys, 66:5 (2011), 829–870
4.
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, D. O. Revin, “Pronormality of Hall subgroups in finite simple groups”, Siberian Math. J., 53:3 (2012), 419–430
6.
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
E. P. Vdovin, “Maximal orders of abelian subgroups in finite simple groups”, Algebra and logic, 2:2 (1999), 67–83
14.
E. P. Vdovin, A. A. Gal't, “Strong reality of finite simple groups”, Siberian Math. J., 51:4 (2010), 610–615
15.
E. P. Vdovin, “Carter subgroups of finite almost simple groups”, Algebra and Logic, 46:2 (2007), 90–119
16.
E. P. Vdovin, “Large nilpotent subgroups of finite simple groups”, Algebra and Logic, 39:5 (2000), 301–312
17.
E. P. Vdovin, “Carter subgroups of finite groups”, Siberian Adv. Math., 19:1 (2009), 24–74
18.
E. P. Vdovin, “Maximal Orders of Abelian Subgroups in Finite Chevalley Groups”, Math. Notes, 69:4 (2001), 475–498
19.
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
20.
E. P. Vdovin, D. O. Revin, “The existence of pronormal $\pi$-Hall subgroups in $E_\pi$-groups”, Siberian Math. J., 56:3 (2015), 379–383
21.
M. C. Tamburini, E. P. Vdovin, “Carter subgroups in finite groups”, Journal of algebra, 255:1 (2002), 148–163 (to appear)
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
25.
E. P. Vdovin, “O probleme sopryazhennosti dlya karterovykh podgrupp”, Sib. matem. zhurn., 47:4 (2006), 725–730
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
27.
E. P. Vdovin, D. O. Revin, L. A. Shemetkov, “Formations of finite $C_\pi $-groups”, St. Petersburg Math. J., 24:1 (2013), 29–37
28.
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.
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, A. A. Gal't, “Normalizers of subsystem subgroups in finite groups of Lie type”, Algebra and Logic, 47:1 (2008), 1–17
31.
E. P. Vdovin, D. O. Revin, “Pronormality and strong pronormality of subgroups”, Algebra and Logic, 52:1 (2013), 15–23
32.
E. P. Vdovin, “Large normal nilpotent subgroups of finite groups”, Siberian Math. J., 41:2 (2000), 246–251
33.
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
34.
Zh. Wu, W. Guo, E. P. Vdovin, “The number of Sylow subgroups in special linear groups of degree $2$”, Algebra and Logic, 56:6 (2018), 498–501
35.
E. P. Vdovin, M. N. Nesterov, D. O. Revin, “Pronormality of Hall subgroups in their normal closure”, Algebra and Logic, 56:6 (2018), 451–457
36.
E. P. Vdovin, D. O. Revin, “Abnormality criteria for $p$-complements”, Algebra and Logic, 55:5 (2016), 347–353
37.
E. P. Vdovin, “The structure of groups possessing Carter subgroups of odd order”, Algebra and Logic, 54:2 (2015), 105–107
38.
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
39.
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
40.
E. P. Vdovin, “On the existence of Carter subgroups”, Proc. Steklov Inst. Math. (Suppl.), 257, suppl. 1 (2007), S195–S203
41.
W. Guo, E. P. Vdovin, “Number of Sylow subgroups in finite groups”, Journal of Group Theory, 21:4 (2018), 695–712
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
46.
W. Guo, E. P. Vdovin, “Carter subgroups and Fitting heights of finite groups”, Archiv der Mathematik, 110:5 (2018), 427–432
47.
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.
48.
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.
49.
I. P. Ivanov, E. P. Vdovin, “Discrete symmetries in the three-Higgs-doublet model”, Phys.Rev.D, 86:9 (2012), 095030 , 5 pp.
50.
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
51.
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
52.
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
53.
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
54.
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
55.
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
56.
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
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